title: calculating the function limit interatively
body: <p>How to calculate the limit of a function interatively in Matlab, by closer to the given limit value?  The accuracy of closing is 10^(-7)</p>
  
  <p>I suppose that that the taylor formula should be used, but don't know how to apply it there.</p>
  
  <p>The function itself is :</p>
  
  <p><img src="https://pp.vk.me/c623121/v623121090/1a35a/x83FA1NU4lk.jpg" alt=""></p>
  
  <p>The limit is 88.
  In other words, the assignment is to present limits as series with assigned variables, compute them step-by-step, approach the limits' value with 10^(-7) precision.</p>
  
  <p>example code of task:</p>
  
  <pre><code>syms x;
  F=log(1+sin(x))/(sin(4*x));
  a=limit(F,x,0);
  disp(a)
  sum=taylor(F,x,0,'Order',7);
  disp(sum)
  disp (subs(sum,x,0))
  </code></pre>