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Math Help - Quick power series question

  1. #1
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    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
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  2. #2
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    Re: Quick power series question

    Quote Originally Posted by Dragonkiller View Post
    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...
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