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Find 1+(1)/(2)+(1)/(4)+(1)/(8)+.... upto...

Find `1+(1)/(2)+(1)/(4)+(1)/(8)+....` upto `oo`.

A

`oo`

B

`1`

C

`2`

D

`1.925`

Text Solution

Verified by Experts

The correct Answer is:
C
Here, `a=1, r= (1)/(2)` So, `S_(oo) = (a)/(1-r)= (1)/(1-(1)/(2))= 2`
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