# Quick power series question

• August 24th 2012, 05:08 AM
Dragonkiller
Quick power series question
Hi I was wondering if anyone could guide me through this question:
Find a power series representation of the function of $f(x) = \int_{0}^{\infty }\frac{sin(t)}{t}dt$ using termwise integration of the Maclaurin series for sin x. For which xER is this representation valid.
Thank you in advance :)
• August 24th 2012, 07:19 AM
Prove It
Re: Quick power series question
Quote:

Originally Posted by Dragonkiller
Hi I was wondering if anyone could guide me through this question:
Find a power series representation of the function of $f(x) = \int_{0}^{\infty }\frac{sin(t)}{t}dt$ using termwise integration of the Maclaurin series for sin x. For which xER is this representation valid.
Thank you in advance :)

Don't you know the MacLaurin series for sin(t)? Just divide every term by t, then integrate...