Represent sinh2x as power series

[synergix]

Homework Statement

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

Homework Equations

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]

Yes that should be correct.

 

[synergix]

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]

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]

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.

Or if you know how to express sinh(x) in terms of exponentials, and you know the Taylor series for exp(x).

 

[synergix]

Well I tried using Taylor series and am happy to say that was also very easy and much more satisfying. Those Taylor series aren't so bad after all:)