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1-1/2+1/3-1/4+1/5........ sum to infinity explain

1-1/2+1/3-1/4+1/5........  sum to infinity  

explain

Grade:11

1 Answers

Rinkoo Gupta
askIITians Faculty 80 Points
8 years ago
log(1+x)=x-x2/2+x3/3-x4/4 ..........
put x=1 on both sides
log (1+1)=1-1/2 +1/3-1/4 +............
=> log2=1-1/2+1/3-1/4+1/5-.......

Ans. is log2

Thanks & Regards
Rinkoo Gupta
AskIITians Faculty

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