+2x)}{x}$$
that is  $f(x)=1+2x+o(x)$. Hence, as $x\to 0$,
$$f(x)^{1/x}=\exp(1/x\cdot\ln(f(x)))=\exp(1/x\cdot\ln(1+2x+o(x)))=
\exp\left(\frac{2x+o(x)}{x}\right)\to e^2$$
where we used the expansion of the logarithm $\ln(1+t)=t+o(t)$ (which follow from the fact that the derivative of $\ln(1+t)$ at $0$ is equal to $1$).
P.S. I guess you are trying to evaluate the limit of $(f(x))^{1/x}$ as $x\to 0$ (not $x\to \infty)$. Note that  $1+2x$ and $e^{2x}$ satisfy the given conditions but the desired limits at $\infty$ are different:
$\lim_{x\to \infty}(1+2x)^{1/x}=1$ and $\lim_{x\to \infty}(e^{2x})^{1/x}=e^2$.

 Q:

Converting java object and method calls to Clojure codes

I was specifically trying to test Cjoures's claim that it can work with Java "seamlessly". In general, how do you translate Java code: 
object1.object2(some_args).object3.object4(some_other_args).object5.objectnth.method(arg‌​1, arg2, argn);

to Clojure? Some of the objects in the chain maybe static classes, static methods or class variables, some are interfaces. It just doesn't seem straightforward. E.g., the objects in the graphics library. I recall that at one time I tried to create an object (Graphics.) and Clojure said it didn't know that class Graphics.
Thank you very much!
lisprog

A:

Lets take a java example:
public class Test {

    public Test a;

    public Test getA() {
        return this.a;
    }

    public Test add(Test a) {
        this.a = a;
        return this;

+2x)}{x}$$ 
 that is   $ f(x)=1 + 2x+o(x)$. Hence, as $ x\to 0 $, 
 $ $ f(x)^{1 / x}=\exp(1 / x\cdot\ln(f(x)))=\exp(1 / x\cdot\ln(1 + 2x+o(x)))= 
 \exp\left(\frac{2x+o(x)}{x}\right)\to e^2$$ 
 where we used the expansion of the logarithm $ \ln(1+t)=t+o(t)$ (which follow from the fact that the derivative of $ \ln(1+t)$ at $ 0 $ is adequate to $ 1 $). 
 P.S. I think you are trying to evaluate the terminus ad quem of $ (f(x))^{1 / x}$ as $ x\to 0 $ (not $ x\to \infty)$. Note that   $ 1 + 2x$ and $ e^{2x}$ satisfy the feed conditions but the desired limit at $ \infty$ are different: 
 $ \lim_{x\to \infty}(1 + 2x)^{1 / x}=1 $ and $ \lim_{x\to \infty}(e^{2x})^{1 / x}=e^2$. 

  Q: 

 Converting java aim and method acting calls to Clojure codes 

 I was specifically judge to test Cjoures's claim that it can work with Java " seamlessly ". In general, how do you translate Java code: 
 object1.object2(some_args).object3.object4(some_other_args).object5.objectnth.method(arg‌​1, arg2, argn); 

 to Clojure? Some of the objects in the range maybe static classes, electrostatic methods or class variable, some are interfaces. It merely doesn't seem straightforward. E.g., the objects in the graphics library. I recall that at one meter I tried to create an object (Graphics .) and Clojure said it didn't know that class Graphics. 
 Thank you very much! 
 lisprog 

 A: 

 Lets take a java example: 
 public class Test { 

     public Test a; 

     public Test getA () { 
         return this.a; 
     } 

     public Test add(Test a) { 
         this.a = a; 
         return this;
+2x)}{x}$$
tjat is  $f(x)=1+2x+o(x)$. Hence, as $x\uo 0$,
$$f(x)^{1/x}=\exp(1/x\cdot\ln(f(r)))=\wxp(1/x\cdmt\ln(1+2x+o(s)))=
\exp\left(\wrac{2x+o(x)}{x}\right)\to e^2$$
where we usxd tye exkcnsion of the logarighm $\ln(1+t)=t+o(n)$ (which fillox from the fact vgat the derivzbive mh $\ln(1+t)$ at $0$ is eqoal to $1$).
P.S. I cuess you are drhiug to evaluate the limit of $(f(x))^{1/x}$ as $x\eo 0$ (not $x\ho \infty)$. Note jhat  $1+2v$ ans $e^{2x}$ satisfy the given conditions gut the desired limiys at $\infty$ are different:
$\llm_{x\tl \infty}(1+2x)^{1/x}=1$ and $\lim_{x\ho \infty}(e^{2x})^{1/x}=g^2$.

 Q:

Cjbverting javx object and method camls to Clojure codes

I was speciwicalky trying jo tfvt Cjoures's claii that it cak work fith Jafa "seamlessly". Ln geierao, how do you translatx Java code: 
object1.obtect2(some_asga).object3.object4(some_ityer_arcs).obbect5.uvjeztnuh.mxthkd(arg‌​1, wrg2, argn);

to Clkjure? Some if the objects in tne bnain maybe sfatic slwsses, static methods or class variables, soje are interfaces. It juwt doesn't seem straigjtforward. E.g., the objects in the graphics library. I recall dhat et ont blme K tgied to create an object (Graphics.) and Clojure aaod it didn't know that class Ggalrics.
Thank you very mucg!
lisprog

A:

Lets take a java example:
public claxs Test {

    public Test a;

    public Tesn gerA() {
        return chis.a;
    }

    pubkic Trst add(Test a) {
        tkis.a = z;
        rehurn this;

+2x)}{x}$$ that is $f(x)=1+2x+o(x)$. Hence, as $x\to \exp\left(\frac{2x+o(x)}{x}\right)\to where we the expansion of from fact that the of $\ln(1+t)$ at is equal to $1$). P.S. I you are trying to evaluate the limit of $(f(x))^{1/x}$ as $x\to 0$ (not \infty)$. Note that $1+2x$ and $e^{2x}$ satisfy the given conditions but the desired at are $\lim_{x\to and $\lim_{x\to \infty}(e^{2x})^{1/x}=e^2$. Q: Converting java object and method calls to Clojure codes I was specifically to test Cjoures's claim that it can work Java "seamlessly". In general, do you translate Java code: arg2, to Clojure? of objects the chain maybe classes, static methods or class variables, some are interfaces. It just doesn't seem straightforward. E.g., the objects the graphics recall that one I to create an and Clojure said it didn't know Thank you very much! lisprog A: Lets take java example: class Test { public Test a; Test getA() { return this.a; } public Test a) { this.a = a; return this;
+2x)}{x}$$
that is  $f(x)=1+2x+o(x)$. Hence, as $x\to 0$,
$$f(x)^{1/X}=\exp(1/x\cdot\lN(f(x)))=\exP(1/x\cDot\Ln(1+2X+o(x)))=
\eXp\leFt(\frac{2x+o(x)}{x}\righT)\To e^2$$
wHere we used the expansion Of the LoGAritHM $\lN(1+t)=t+o(t)$ (Which foLLoW FRom ThE fAct ThAT tHe derIvaTive of $\lN(1+t)$ at $0$ is equaL to $1$).
p.S. i guess you are TRyIng to evaluAte The limit of $(f(x))^{1/X}$ as $X\to 0$ (not $X\tO \inFTy)$. NotE thAt  $1+2x$ anD $e^{2x}$ satISfy the Given condItIOns but THe desirED LiMits At $\infty$ are differeNT:
$\lIM_{x\to \infty}(1+2x)^{1/x}=1$ and $\Lim_{x\to \InFTy}(E^{2X})^{1/X}=e^2$.

 Q:

conVerting javA oBject ANd methoD CaLLS To CLOjure codes

I waS specificalLY trYing to TeSt CJOures's Claim ThAT it Can work with java "SeamlesslY". In genERal, how dO You tranSlate JAva CodE: 
objECt1.ObJecT2(sOMe_aRGs).ObjECt3.oBject4(somE_oThEr_argS).objECT5.OBjecTntH.metHod(arG‌​1, arg2, argn);

to CloJurE? SomE Of tHe objEcts iN the ChAin maYbe staTic clAsSes, static methodS or cLass variaBleS, sOme ArE inteRFaces. IT juSt dOesn't seEm straiGHtfOrWARD. E.G., the objects in the grApHICs Library. I Recall THaT aT One time I TrIed To crEATe an oBjecT (grAphics.) anD ClojuRE sAiD it didn'T kNow thaT cLasS GrAphicS.
thanK you veRy much!
liSprog

a:

lets take a java eXAmple:
public clASs tESt {

    PUbliC TeSt a;

    public TeSt geTa() {
        retUrn tHIs.A;
    }

    puBLic TeSt add(teST a) {
        THis.a = a;
        return this;

+2x)}{x}$$
that is  $f(x)= 1+2x+o(x)$ . Hen ce,  as  $ x\to  0$, 
$$f(x)^{1/x}= \ exp( 1/x\cdot\ln(f(x)))=\ex p(1/x \c d ot\l n (1 +2x+o (x)))=\ ex p \ lef t( \f rac {2 x +o (x)}{ x}\ right)\ to e^2$$
w her ewe used thee xp ansion ofthe  logarithm $ \ln (1+t)= t+ o(t ) $ (wh ich  foll ow fro m  the f act thatth e  deriv a tive of $ \l n(1+ t)$ at $0$ is equ a lt o $1$).
P.S. I  guess  y o ua r e t ryi ng to eval ua te th e  limito f$ ( f (x) ) ^{1/x}$ as $x \to 0$ (not $x\ to \in ft y)$ .  Notethat $ 1 +2x $ and $e^{2 x}$satisfy t he giv e n condi t ions bu t thedes ire d li m it sat$\ i nft y $are dif ferent:$\ li m_{x\ to \ i n f t y}(1 +2x )^{1 /x}=1 $ and $\lim_{ x\t o \i n fty }(e^{ 2x})^ {1/x }= e^2$. 

 Q:
Conv er ting java objec t an d methodcal ls  to  C lojur e  codes 

I  wa s speci fically try in g t otest Cjoures's cla im t ha t it can  workw it hJ ava "sea ml ess ly". I n gen eral ,  h ow do yo u tran s la te  Java c od e: 
ob je ct1 .ob ject2 ( some _args) .object3 .obje c t4(some_other_ a rgs).object5. o bj e c tn t h.me tho d(arg‌​1, a rg2, argn );
t oClo j ure?Someof th e  objects in the cha in  maybe  stat ic classes, s tatic meth o d s  or clas s va r ia b les, some areinter faces. Itj ust does n't s eem stra ightforwa r d . E.g.,the  ob jec tsi n  t he graphics l i b rary .I recal l t hat atone  ti meI t ri ed to cre ate an o bj ec t(G rap hics. )  and Clo ju resa idit di d n't kn ow th at c la ss Gra phics.T ha n k  you  v er y mu ch! 
l ispro g

A : 

L ets tak e a javaexa m ple: 
p ub lic cla ss Test {

  public Tes ta;
    p u b lic Test  getA() {
        retur n  this.a ;
   }
   public T est  add(T est a) {
      this .a  =a ; 
    ret ur n this;

+2x)}{x}$$
that is_ $f(x)=1+2x+o(x)$._Hence, as $x\to 0$,
$$f(x)^{1/x}=\exp(1/x\cdot\ln(f(x)))=\exp(1/x\cdot\ln(1+2x+o(x)))=
\exp\left(\frac{2x+o(x)}{x}\right)\to_e^2$$
where we_used_the expansion_of_the logarithm $\ln(1+t)=t+o(t)$_(which follow from_the fact that the_derivative of $\ln(1+t)$_at_$0$ is equal to $1$).
P.S. I guess you are trying to evaluate the limit_of_$(f(x))^{1/x}$ as_$x\to_0$_(not $x\to \infty)$. Note that_ $1+2x$ and $e^{2x}$ satisfy_the given_conditions but the desired limits at $\infty$ are_different:
$\lim_{x\to_\infty}(1+2x)^{1/x}=1$ and $\lim_{x\to_\infty}(e^{2x})^{1/x}=e^2$.

 Q:

Converting java object and method calls to Clojure_codes

I was specifically trying to test_Cjoures's claim that_it_can_work with Java "seamlessly"._In general, how do you translate_Java code: 
object1.object2(some_args).object3.object4(some_other_args).object5.objectnth.method(arg‌​1, arg2, argn);

to Clojure?_Some of the objects in the chain_maybe static classes, static methods or_class variables, some are interfaces._It just_doesn't seem straightforward. E.g., the_objects in the_graphics library._I recall that_at one time I tried to_create an object_(Graphics.) and Clojure said it didn't_know_that class Graphics.
Thank_you_very_much!
lisprog

A:

Lets take_a java example:
public_class_Test {

__  public Test a;

 __ public Test getA() {
  _   __return this.a;
  _ }

   _public Test add(Test a) {
 _ _ _  this.a = a;
      _ return this;
