Example 2.  Consider the function  .  
2 (c).  Find the terms up to    in the Maclaurin series and see how close it approximates  f[x].
Solution 2 (c).

2 (c).  Find the terms up to    in the Maclaurin series and see how close it approximates  f[x].

Go ahead "enjoy" and add terms in the series up to , then plot the functions over the interval .

Question.  Do we have a "good approximation" on the interval   ?

(c) John H. Mathews 2004