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1+1/(1+2)+1/(1+2+3)+1/(1+2+3+n)=(2n)/(n+...

`1+1/(1+2)+1/(1+2+3)+1/(1+2+3+n)=(2n)/(n+1)`

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lim_ (n rarr oo) (1+ (1) / (2) + (1) / (2 ^ (2)) + (1) / (2 ^ (3)) + ...... (1) / (2 ^ (n))) / (1+ (1) / (3) + (1) / (3 ^ (2)) + (1) / (3 ^ (3)) ...... (1) / (3 ^ (n)))

For all ngt=1 , prove that , (1)/(1.2) + (1)/(2.3) + (1)/(3.4) + ……+ (1)/(n(n+1)) = (n)/(n+1)

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