Represent sinh2x as power series

Homework Statement

find the first three non zero terms of a power series representation of f(x)= sinh 2x

The Attempt at a Solution

seems easy enough do I just substitute 2x for x?

so sinh 2x= 2x + 8x3/3! + 32x5/5!

rock.freak667
Homework Helper
Yes that should be correct.

Thanks I messed this one up on a test because I forgot to put the formula on my cheat sheet but damn that was easy

Dick
Homework Helper
You didn't really need to have the formula on your cheat sheet if you know how to differentiate sinh(2x). Just use the general formula for a Taylor series.

nicksauce