"Expand the function

$$f(x) = e^x$$

in powers of $x + 1$ to the term containing $(x + 1)^3$"

The wording of this problem throws me off a bit, but I believe this involves Taylor Series Expansion. However, I am not exactly sure how to express it. What do you guys suggest? Any help would be appreciated!

  • $\begingroup$ Taylor around $x=-1$? $\endgroup$ – rlartiga Dec 5 '16 at 17:08
  • $\begingroup$ Suggestion. Look just before this in the book, and see if there are some expansions in powers of something other than $x$. $\endgroup$ – GEdgar Dec 5 '16 at 17:10

$f (x)=e^{x+1}e^{-1} $. For the first factor use the $e $- series


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