Alternating Series Error Problem

[natHenderson]

I don't even know where to begin, can somebody help?

 

[Steven G]

You start with the error formula. See what you can do with that?

 

[natHenderson]

But I'm confused because it says that the Taylor series is for f about x = 0, so wouldn't the whole series equal 0?

 

[topsquark]

But I'm confused because it says that the Taylor series is for f about x = 0, so wouldn't the whole series equal 0?

The Taylor series is for x "close" to 0, not equal to it. How close you have to be to 0 depends on the radius of convergence.

-Dan

 

[natHenderson]

So, I wrote out the problem, I just want to confirm my answer, is it D?