Visualization of limits

Introduction and Activity

The purpose of the applet is to visualize those limits.
First, let's choose two functions y=x and y=sin x. Then, scale up the graph around the origin. You will see the two graphs are almost same when you scale up enough. In other words, sin x and x have almost same value when x is very small. This means sin x/x ->1 (x->0).

  • Compare y=ex-1 and y=x.
  • Compare y=log(1+x) and y=x