If |a| < 1, b=\sum_{{k=1}}^{{\infty}} \frac{a^k}{k}, then a is equal to

Correct Answer is : ∞∑k=1(−1)k−1bkk!

\sum_{{k=1}}^{{\infty}} \frac{(-1)^k b^k}{k}

\sum_{{k=1}}^{{\infty}} \frac{(-1)^{k-1} b^k}{k !}

\sum_{{k=1}}^{{\infty}} \frac{(-1)^k b^k}{(k-1) !}

\sum_{{k=1}}^{{\infty}} \frac{(-1)^{k-1} b^k}{(k+1) !}

EAMCET Engineering 2005 Solved Paper

Section: Mathematics

Question : 93 of 160

Marks: +1, -0

If |a|<1,b=

∞

∑

k=1

‌

, then a is equal to

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