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The sum of the series 1+(1)/(4)+(1)/(16)...

The sum of the series `1+(1)/(4)+(1)/(16)+(1)/(64)+....oo` is

A

`(8)/(7)`

B

`(6)/(5)`

C

`(5)/(4)`

D

`(4)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
`S_(oo) = 1+ (1)/(4) + (1)/(16) + (1)/(64) + ..............= (1)/(1- 1//4)= (4)/(3)`
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