# Real Analysis: Function Expansion

"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!

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

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