For the series $\dfrac{1}{2x+1} + \dfrac{1}{(2x+1)^2} + \ldots$ to have sum to infinity, the condition on $x$ is —

Question

Accepted Answer

$x < -1$ or $x > 0$

Answer

$x > 0$ only

Answer

$x < -1$ only

Answer

$-1 < x < 0$

For the series 12x+1+1(2x+1)2+…\dfrac{1}{2x+1} + \dfrac{1}{(2x+1)^2} + \ldots2x+11​+(2x+1)21​+… to have sum to infinity, the condition on xxx is —