is it true that 1-1/2+1/3-1/4=....=ln2??

how i solve that question i have to use the harmonic series!?

Thanks

Nana

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- May 27th 2009, 05:45 AMNaNaReal Analysis
is it true that 1-1/2+1/3-1/4=....=ln2??

how i solve that question i have to use the harmonic series!?

Thanks

Nana - May 27th 2009, 05:53 AMmr fantastic
- May 27th 2009, 06:00 AMchisigma
Starting from the geometric series...

, (1)

... and integrating term by term we obtain...

(2)

Setting in (2) x=1 we have...

(3)

Kind regards

- May 27th 2009, 06:02 AMNaNa
So easy thanks a lot!!!