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Let S(K) be the sum of an infinte G.P. s...

Let `S_(K)` be the sum of an infinte G.P. series whose first term is K and common ratio is `(K)/(K+1)(Kgt0)`. Then the value of `sum_(K=1)^(oo)((-1)^(K))/(S_(K))` is equal to

A

`log_(e)4`

B

`log_(e)2-1`

C

`1-log_(e)2`

D

`1-log_e4`

Text Solution

Verified by Experts

The correct Answer is:
D
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