Answer
$1$
Work Step by Step
Formula to calculate the sum of a geometric series is:$S=\dfrac{a}{1-r}$
Consider the series $\sum_{n=0}^{\infty} (\sqrt 2)^n$ with first term, $a=\dfrac{3}{2}$ and common ratio $r =\dfrac{-1}{2}$
Now, $S=\dfrac{a}{1-r}=\dfrac{\dfrac{3}{2}}{1-(\dfrac{-1}{2})}$
or, $S=1$
