Good afternoon,

I think I can finally wrap my head around Taylor (& Maclaurin) polynomials. However, I seem to really be struggling with the error bounds. I am looking for an error bound of for the Maclaurin polynomial of for .

I'm not even sure I know how to set this up. Should it be simply:

If this is what it should be, can someone explain why (or point me to some "easy to digest" reading)?