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)

Create a free account to view solution

View Solution Free
Topic: Binomial Theorem·Practice all Binomial Theorem questions

More Binomial Theorem Questions

In the expansion of (1 + x)n (1 + y)n (1 + z)n, the sum of the co-efficients of the terms of degree ′r′ is -...-The coefficient of x′ (0 ≤ r ≤ n - 1) in the expression :(x + 2)n-1 + (x + 2)n-2. (x + 1) + (x + 2)n-...Let the co-efficients of xn in (1 + x)2n & (1 + x)2n - 1 be P & Q respectively, then =...The number of non zero terms in the expansion of [(1 + 3√2x )9 − (1 − 3√2x)9] is -...The coefficient of x4 in is...