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Find the sum of the series and explain how you know the sum converges to this value.
Sum of (((1)^(n+1))/n) n=1, infinty.
 one year ago
 one year ago
Find the sum of the series and explain how you know the sum converges to this value. Sum of (((1)^(n+1))/n) n=1, infinty.
 one year ago
 one year ago

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SilenthillBest ResponseYou've already chosen the best response.0
\[\sum_{n=1}^{\infty} ((1)^{n+1} x^n)/n \]
 one year ago

SilenthillBest ResponseYou've already chosen the best response.0
ln(1+1)=ln(2) but how you know it converges to this value?
 one year ago

blockcolderBest ResponseYou've already chosen the best response.0
Alternating series test.
 one year ago

joemath314159Best ResponseYou've already chosen the best response.0
Are you familiar with Taylor Series or Maclaurin Series?
 one year ago

joemath314159Best ResponseYou've already chosen the best response.0
If you try to compute the Maclaurin series of:\[\ln(x+1)\]you will obtain the power series in your question.
 one year ago

ZarkonBest ResponseYou've already chosen the best response.1
differentiate the series...sun the then geometric series...integrate the series
 one year ago

ZarkonBest ResponseYou've already chosen the best response.1
*integrate the closed form after summing the geometric
 one year ago
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