# Finding a power series

• Nov 21st 2011, 08:16 AM
bobsanchez
Finding a power series
Find a power series representation of the integral of sinx/x from 0 to 1/4.

I have seen this done with polynomials, the trig function part is wigging me out though. Any help is thoroughly appreciated!
• Nov 21st 2011, 08:25 AM
Prove It
Re: Finding a power series
Quote:

Originally Posted by bobsanchez
Find a power series representation of the integral of sinx/x from 0 to 1/4.

I have seen this done with polynomials, the trig function part is wigging me out though. Any help is thoroughly appreciated!

Start by writing the Power Series representation of sin(x), divide each term by x, then integrate term by term.
• Nov 21st 2011, 08:29 AM
bobsanchez
Re: Finding a power series
Quote:

Originally Posted by Prove It
Start by writing the Power Series representation of sin(x), divide each term by x, then integrate term by term.

Thank you!
• Nov 21st 2011, 08:42 AM
bobsanchez
Re: Finding a power series
Also, how many terms are needed to approximate A with an error less than .0001?
• Nov 21st 2011, 01:23 PM
bobsanchez
Re: Finding a power series
Never mind, figured it out.