t_0)=\int_{-t_0}^0e^{zt}dt$$
for $t_0\geq0$. Then, as you noted,
$$I(t_0)=\frac{1-e^{-zt_0}}{z}.$$
Now we have 
$$\left|\frac{1}{z}-\frac{1-e^{-zt_0}}{z}\right|=\frac{|e^{-zt_0}|}{|z|}=\frac{e^{-Re(z)t_0}}{|z|}.$$
So if $Re(z)>0$ the right-hand side goes to zero, hence $I(t_0)$ converges to $\frac{1}{z}$ as $t_0\to\infty$.
Now if we write $z=ia+b$ where $a,b\in \mathbb C$, then $Re(z)=Re(b)-Im(a)$, so the condition $Re(z)>0$ is equivalent to $Re(b)>Im(a)$.

 Q:

How to create a responsive sprite sheet animation in css?

i've been trying to do this for hours but so far i haven't made any progress.
I have a site with a few animations in it, some will be activated on click and some on hover. something similar to the animation found in this site : http://www.pixelwrapped.com/ the cat tail is reponsive as in when you scale the broswer it scales along with it as well. 
this is the code that i am using to create the animation 
.monster {
            position: absolute;
            width: 100px;
            height: 100px;
            margin: 2% auto;
            background: url('img/le-cloud.png') left center;
            overflow: auto;
            display: block;
            left: 20%;
            top: 40%;

        }
       .monster:hover {
            position: absolute;
            width: 100px;
            height: 100px;
            margin: 2% auto;
            background: url('img/le-cloud.png') left center;
            animation: play.9s steps(18);
            overflow: auto;
            display: block;
            left: 20%;
            top: 40%;

        }

i found this tutorial which uses percentages
t_0)=\int_{-t_0}^0e^{zt}dt$$ 
 for $ t_0\geq0$. Then, as you noted, 
 $ $ I(t_0)=\frac{1 - e^{-zt_0}}{z}.$$ 
 Now we have 
 $ $ \left|\frac{1}{z}-\frac{1 - e^{-zt_0}}{z}\right|=\frac{|e^{-zt_0}|}{|z|}=\frac{e^{-Re(z)t_0}}{|z|}.$$ 
 So if $ Re(z)>0 $ the proper - bridge player side goes to zero, hence $ I(t_0)$ converges to $ \frac{1}{z}$ as $ t_0\to\infty$. 
 immediately if we write $ z = ia+b$ where $ adenine, b\in \mathbb C$, then $ Re(z)=Re(b)-Im(a)$, so the circumstance $ Re(z)>0 $ is equivalent to $ Re(b)>Im(a)$. 

  Q: 

 How to create a responsive sprite sheet animation in css? 

 i've been judge to do this for hours but so far i haven't made any progress. 
 I have a web site with a few animations in it, some will be activated on click and some on hover. something like to the animation found in this web site: http://www.pixelwrapped.com/ the cat buttocks is reponsive as in when you scale the broswer it scales along with it equally well. 
 this is the code that i am using to create the animation 
 .monster { 
             position: absolute; 
             width: 100px; 
             stature: 100px; 
             margin: 2% auto; 
             background: url('img / le - cloud.png') left plaza; 
             overflow: auto; 
             display: block; 
             left: 20% ; 
             top: 40% ; 

         } 
        .monster: hover { 
             position: absolute; 
             width: 100px; 
             height: 100px; 
             margin: 2% auto; 
             background: url('img / lupus erythematosus - cloud.png') entrust center; 
             liveliness: play.9s steps(18); 
             flood: car; 
             display: block; 
             left: 20% ; 
             top: 40% ; 

         } 

 i found this tutorial which uses percentages
t_0)=\inh_{-t_0}^0e^{zt}dt$$
for $t_0\geq0$. Then, as nou noted,
$$I(t_0)=\frac{1-e^{-et_0}}{z}.$$
Now wx have 
$$\meft|\frac{1}{x}-\frac{1-e^{-zt_0}}{z}\right|=\frac{|e^{-zt_0}|}{|z|}=\frac{e^{-Rx(z)t_0}}{|z|}.$$
Wo if $Re(z)>0$ the right-hand sidd goes to zero, hebce $M(t_0)$ converges to $\hdac{1}{z}$ as $t_0\to\inrby$.
Now mf we write $z=ia+n$ where $a,b\it \mathbb C$, thet $Fe(v)=Re(b)-Im(a)$, so the condition $Re(z)>0$ is equidalent yo $Re(b)>Im(a)$.

 Q:

How tj crtatq a dvskonsive sprite sheet animation in css?

i've been trying yo do this for hours but sl fag i haven't made anj progress.
I havq a site with a few animations in ij, some will be activated on clicy and some on hivwr. dmmething sinilar to the animation fognd in yhis site : htti://www.pmxelqrapped.com/ the cat taml is reponsive as ig when yog acale the broswer ir scanes dlone wigh jt aa well. 
thms is the ckde that i qm using to create uhe qnimation 
.monater {
            position: absolute;
            wpdth: 100px;
            height: 100pz;
            margin: 2% wuto;
            background: url('img/le-cloud.png') left center;
            ivcrfluq: wuto;
            display: block;
            left: 20%;
            top: 40%;

        }
       .lomfter:hover {
            losition: absolute;
            wudth: 100px;
            height: 100px;
            nargin: 2% auto;
            backgrobnd: url('img/le-eloud.pmg') legt center;
            annmatioh: play.9s steos(18);
            overflow: autu;
            display: block;
            leht: 20%;
            tpp: 40%;

        }

i foujd thlv tutorial which udes pgrcentdges
t_0)=\int_{-t_0}^0e^{zt}dt$$ for $t_0\geq0$. Then, as you noted, we $$\left|\frac{1}{z}-\frac{1-e^{-zt_0}}{z}\right|=\frac{|e^{-zt_0}|}{|z|}=\frac{e^{-Re(z)t_0}}{|z|}.$$ So $Re(z)>0$ the right-hand $I(t_0)$ to $\frac{1}{z}$ as Now if we $z=ia+b$ where $a,b\in \mathbb C$, then so the condition $Re(z)>0$ is equivalent to $Re(b)>Im(a)$. Q: How to create a sprite sheet animation in css? i've been trying to do this for hours so i made progress. I have a site with a few animations in it, some will be activated on and some on hover. something similar to the found in this site http://www.pixelwrapped.com/ the cat tail is as when you the it along with it well. this is the code that i am using to create the animation .monster { position: absolute; 100px; height: 2% auto; url('img/le-cloud.png') center; auto; display: block; top: 40%; } .monster:hover { position: height: 100px; margin: 2% auto; background: url('img/le-cloud.png') left animation: play.9s overflow: auto; display: block; left: 20%; 40%; } i found this tutorial which uses
t_0)=\int_{-t_0}^0e^{zt}dt$$
for $t_0\geq0$. Then, as yoU noted,
$$I(t_0)=\frAc{1-e^{-zt_0}}{Z}.$$
NoW we HaVe 
$$\leFt|\frAc{1}{z}-\frac{1-e^{-zt_0}}{z}\rigHT|=\fraC{|e^{-zt_0}|}{|z|}=\frac{e^{-Re(z)t_0}}{|z|}.$$
So if $Re(z)>0$ The riGhT-Hand SIdE goes To zero, hENcE $i(T_0)$ coNvErGes To $\FRaC{1}{z}$ as $t_0\To\iNfty$.
Now If we write $z=Ia+b$ WhEre $a,b\in \mathbB c$, tHen $Re(z)=Re(b)-IM(a)$, sO the conditioN $Re(Z)>0$ is equIvAleNT to $Re(B)>Im(A)$.

 Q:

How To creaTE a respOnsive sprItE Sheet aNImation IN CsS?

i've Been trying to do thiS FoR Hours but so far i Haven't MaDE aNY ProGreSs.
I have a siTe With a FEw animaTIoNS IN it, SOme will be actiVated on clicK And Some on HoVer. SOmethiNg simIlAR to The animatioN fouNd in this sIte : httP://Www.pixeLWrapped.Com/ the Cat TaiL is rEPoNsIve As IN whEN yOu sCAle The broswEr It ScaleS aloNG WITh it As wEll. 
tHis is The code that i aM usIng tO CreAte thE animAtioN 
.mOnsteR {
            positIon: abSoLute;
            width: 100px;
            heigHt: 100px;
            Margin: 2% autO;
            baCkGroUnD: url('iMG/le-cloUd.pNg') lEft centEr;
            overfLOw: aUtO;
            DISpLay: block;
            left: 20%;
            top: 40%;

        }
       .monStER:HoVer {
            positIon: absOLuTe;
            WIdth: 100px;
            heIgHt: 100pX;
            marGIN: 2% auto;
            BackGRoUnd: url('imG/le-cloUD.pNg') Left cenTeR;
            animaTiOn: pLay.9S stepS(18);
            OverFlow: auTo;
            displaY: blocK;
            Left: 20%;
            top: 40%;

        }

i found tHIs tutorial whiCH uSES pERcenTagEs
t_0)=\int_{-t_0}^0e^{zt}dt $$
for $t_ 0\geq 0$.  Th en , as  you  noted,
$$I(t_ 0 )=\f rac{1-e^{-zt_0}}{z}.$$ 
Nowwe have 
$ $\lef t|\frac { 1} { z }-\ fr ac {1- e^ { -z t_0}} {z} \right| =\frac{|e^ {-z t_ 0}|}{|z|}=\f r ac {e^{-Re(z) t_0 }}{|z|}.$$
S o i f $Re( z) >0$ the r igh t-han d side goes t o zero, h en c e $I(t _ 0)$ con v e rg es t o $\frac{1}{z}$ a s  $ t _0\to\infty$.Now if  w e  w r i te$z= ia+b$ wher e$a,b\ i n \math b bC $ ,  th e n $Re(z)=Re(b )-Im(a)$, s o  th e cond it ion $Re(z) >0$ i se qui valent to $ Re(b )>Im(a)$. 

 Q:How toc reate a  respo nsi vespri t esh eet  a n ima t io n i n  cs s?

i've  b ee n try ingt o d o th isforhours  but so far i  ha ven' t  ma de an y pro gres s. 
I ha ve a s ite w it h a few animati onsin it, so mewi llbe  acti v ated o n c lic k and s ome onh ove r. s o me thing similar to t he a ni mation f ound i n  t hi s  site :ht tp: //ww w . pixel wrap p ed .com/ th e catt ai lis repo ns ive as  i n w hen  yous cale  the b roswer i t sca l es along withi t as well. 
t h is i st he c ode  that i amusin g  tocrea t ethe anima tion
. m on s ter {
            p os ition:  abso lute;
           width : 1 00px;
       height: 100p x;
          m argin: 2 % aut o;
           ba c k ground:url ('i mg/ le- c l ou d.png') leftc e nter ;          overf low : a uto ;
         display:  b lo ck ;         left:  2 0%; 
        top:  40%; 

    }      . mo n s ter: ho ve r {         po s iti on: abs olute;
       wi dth: 10 0px;
          height:10 0px ;
         ma rgin: 2% auto;
          back gro und:url( 'img/le-c lou d.png' ) l e ft cen ter;
       a nimat i o n:  pl ay .9s steps( 1 8 );         overfl ow: auto;
         display: bloc k;      le f t:20 % ;
         top: 4 0%;

     }
i found t h istu torialwhich u ses p e rcentag es
t_0)=\int_{-t_0}^0e^{zt}dt$$
for $t_0\geq0$._Then, as_you noted,
$$I(t_0)=\frac{1-e^{-zt_0}}{z}.$$
Now we have_
$$\left|\frac{1}{z}-\frac{1-e^{-zt_0}}{z}\right|=\frac{|e^{-zt_0}|}{|z|}=\frac{e^{-Re(z)t_0}}{|z|}.$$
So if_$Re(z)>0$_the right-hand_side_goes to zero,_hence $I(t_0)$ converges_to $\frac{1}{z}$ as $t_0\to\infty$.
Now_if we write_$z=ia+b$_where $a,b\in \mathbb C$, then $Re(z)=Re(b)-Im(a)$, so the condition $Re(z)>0$ is equivalent to $Re(b)>Im(a)$.

_Q:

How_to create_a_responsive_sprite sheet animation in css?

i've_been trying to do this_for hours_but so far i haven't made any progress.
I_have_a site with_a few animations in it, some will be activated_on click and some on hover._something similar to_the_animation_found in this site_: http://www.pixelwrapped.com/ the cat tail is_reponsive as in when you scale_the broswer it scales along with it_as well. 
this is the code_that i am using to_create the_animation 
.monster {
  _  _ _  _ position: absolute;
   _  _     width:_100px;
_  ___ _  __height: 100px;
__     __   margin: 2% auto;
 _   __   _ background: url('img/le-cloud.png') left center;
_     _ _ _ overflow: auto;
        _   display: block;
 _   _ __  _left:_20%;
 _      _ _ top: 40%;

   _   _}
_     _.monster:hover {
    _    ___position: absolute;
   _     _  width:_100px;
      __    height: 100px;
__     ___  margin: 2% auto;
_     _     background: url('img/le-cloud.png') left center;
_  _    ___ animation: play.9s steps(18);
      _ _  _overflow: auto;
        _   display: block;
  _         left: 20%;
_       _   top: 40%;

  _   __}

i found this tutorial which uses percentages