# Need help with part b)! How do we show that this is true?

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I need help with part b). By the Lagrange error bound, I know that the error is going to be less than the absolute value of the next term.

Indeed, #2^5/5! = 4/15# but how do I show this rigorously on a math exam?

I need help with part b). By the Lagrange error bound, I know that the error is going to be less than the absolute value of the next term.

Indeed,

##### 1 Answer

May 11, 2018

OK, I'll assume for part a, you got

And we have

By substituting the Maclaurin series, we get: