Thread: Maclaurin and mean value help

Hi All
i would really appreciate any help on the following problems

1. Maclaurin expansion of lncosx up to x^4.

2. Mean value of y= 2e^x/3 between x=3 and x=6.

Thanks

Originally Posted by bhav

Hi All
i would really appreciate any help on the following problems

1. Maclaurin expansion of lncosx up to x^4.

2. Mean value of y= 2e^x/3 between x=3 and x=6.

Thanks

1. Do you know the formula for the nth term in a Maclaurin series? It is in your class notes and textbook. Where are you stuck in applying it?

2. By definition (the one that is in your class notes and textbook):

First, note that



so .


So if you can find a Maclaurin series for , integrate it and then you have the Maclaurin series for .