There is this problem that has been appearing a lot lately but I cannot find any examples that help me solve this.

It states:

"Find (at least) the first

**3** nonzero terms in the Taylor (power) series for

centered at

(This is the same as the Maclaurin series for the function

)"

Now I know how to use the Taylor series and get an expansion, but my method involves continuously taking the derivative of the function which can get pretty messy after even the second derivation. And even at that point, I'm still getting zero for my expansion terms.

What is this question

**asking** exactly?