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If S denotes the sum to infinity and S(n...

If S denotes the sum to infinity and `S_(n)`, the sum of n terms of the series `1+( 1)/(2) +( 1)/( 4) + ( 1)/( 8 ) +"………….",` such that `S-S_(n) lt ( 1)/( 1000)` , then the least value of n is `:`

A

8

B

9

C

10

D

11

Text Solution

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The correct Answer is:
D
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