JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The largest interval for which the series

1+(x-1)+(x-1)^{2}

+\cdots \infty

may be summed is

View answer and explanation

Correct option: B

0 < x < 2

Option B (

0 < x < 2

) is correct because the series converges when the absolute value of the common ratio (x-1) is less than 1.

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