Power Series Expansion

  • Thread starter venom192
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I posted this in the homework section, but it's not a homework problem.

I basically need to know if the series Ʃ ((-1)^(i-1))/i can be represented in other ways (e.g. a Taylor series, but I doubt it). I know it converges to ln2, but I need to know if there's a series like x^2, x^4, .... or something like it that I can represent it with.
 

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  • #2
pwsnafu
Science Advisor
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I posted this in the homework section, but it's not a homework problem.

I basically need to know if the series Ʃ ((-1)^(i-1))/i can be represented in other ways (e.g. a Taylor series, but I doubt it). I know it converges to ln2, but I need to know if there's a series like x^2, x^4, .... or something like it that I can represent it with.
Do you know the Taylor series for ##\log (x+1)## ?
 

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