Statement-1 : The largest interval for which we can find the sum of the series 1+(2x−1)+(2x−1)2+(2x−1)3+…) is   (0,1)Statement-2 : An infinite geometric series        a+ar+ar2+… can be summed up if  |r|<1

# Statement-1 : The largest interval for which we can find the sum of the series $1+\left(2x-1\right)+\left(2x-1{\right)}^{2}+\left(2x-1{\right)}^{3}+\dots \right)$ is Statement-2 : An infinite geometric series        $a+ar+a{r}^{2}+\dots$ can be summed up if  $|r|<1$

1. A

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is a correct explanation for STATEMENT-1

2. B

STATEMENT-1 is True, STATEMENT-2 is True; STATEMENT-2 is NOT a correct explanation for

STATEMENT-1

3. C

STATEMENT-1 is True, STATEMENT-2 is False

4. D

STATEMENT-1 is False, STATEMENT-2 is True

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