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Math Help - Need help with power series form

  1. #1
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    Need help with power series form

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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Hint :

    Use:

    (i) g ( x ) = 1 / (x - 2 ) = ( -1 / 2 ) ( 1 + x / 2 + x^2 / 4 + ... ) ( if | x | < 2 )

    (ii) g' ( x) = - 1 / ( x - 2 )^2
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  3. #3
    MHF Contributor
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    Note that , so if you find the power series for , differentiate it term by term. Then multiply it all by .
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  4. #4
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    Ah thank you so much. I thought we had to integrate it all this time.
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