Binomial TheoremHard

Question

Find the sum of the series + ......

Options

A.loge (3/2)
B.loge (2/3)
C.loge (4/7)
D.none of these

Solution

Let x = , then the sum of the given series
= x - + ..... to ∞
= loge(1 + x)
= loge
= loge (3/2)

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