Approximate the limit of the function [math] as [math] approaches [math] numerically and graphically.
  1. Evaluate the function [math] at the following values of [math] near zero. Enter at least four decimal places.
    [math] [math]
    [math]
    [math]
    [math]
    [math] undefined
    [math]
    [math]
    [math]
  2. Find an approximate value for the limit. The answer should be a familiar transcendental number.
    [math] . Your answer should be accurate to four decimal places.