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- Find $1+1 / 2+1 / 4+1 / 8+\ldots \infty$Option: 1 5Option: 2 2<div class='qna
Find $1+1 / 2+1 / 4+1 / 8+\ldots \infty$
Option: 1
5
Option: 2
2
Option: 3
10
Option: 4
12
Answers (1)
$\mathrm{a}=1, \quad \mathrm{r}=1 / 2$
Here $0<\mathrm{r}<1$. Hence, $\mathrm{S} \infty=\mathrm{a} 1-\mathrm{r}=1 /(1-1 / 2)=1(1 / 2)=2$
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