GATE Electrical Engineering (EE) 2016 Shift 1 Solved Paper

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Question : 37 of 65

Marks: +1, -0

Let

S = ∑ ↙{n = 0}↖{∞}⁡nα ^{n}

where

|α {{}/{}|} \: < \:1

. the value of

α

in the range

0 < α < 1

, such that

S = 2α

is _______.

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