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Let Sk be the sum of an infinite G.P. se...

Let `S_k` be the sum of an infinite G.P. series whose first term is k and common ratio is `k/(k+1) (k gt 0)`. Then the value of `sum_(k = 1)^infty (-1)^k/s_k` is equal to

A

`log_e 4`

B

`log_e 2 - 1`

C

`1 - log_e 2`

D

`1 - log_e 4`

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The correct Answer is:
D
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