Answer
$\dfrac{4}{3}$
Work Step by Step
Since, we have $S_{\infty}=\dfrac{a_1}{1-r}$
Here, $a_1=2,r=\dfrac{-1}{2}$
Thus,
$S_{\infty}=\dfrac{2}{1-(\dfrac{-1}{2})}=\dfrac{4}{3}$
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