Progression (Sequence and Series)Hard

Question

The sum of the series - .... upto ∞ is equal to

Options

A.2 loge2
B.loge2 - 1
C.loge2
D.loge2

Solution

- .......
= 1 - .......
= 1 - 2
= 2 - 1
= 2 log 2 - log e
= log
Hence, (D) is the correct answer.

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