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Math Help - taylor series (studyin for final)

  1. #1
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    taylor series (studyin for final)

    hm i m stuck on this problem.. i dont know if i did it correctly.
    find the taylor series generated by f at x = a.

    did i take the derivatives wrong?? i found the taylor series but dont i need the formula of that series? hm any help appreciated big time.
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  2. #2
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    Dear Legendsn3verdie,

    you've calculated well. It is behind the last step:

    f(x) = \sum a_i*x^i
    What are the coefficents a_i? You know it, I'm sure.
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  3. #3
    MHF Contributor Mathstud28's Avatar
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    You surely know that \frac{1}{1-x}=\sum_{n=0}^{\infty}x^n so \frac{x}{1-x}=x\cdot\frac{1}{1-x}=x\cdot\sum_{n=0}^{\infty}x^n=\sum_{n=0}^{\infty  }x^{n+1}
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