$\lim _{x \rightarrow \infty} \frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\ldots+\frac{1}{2^n}=$

Question

Professor PC Thomas Classes · Answer

Infinite geometric series with $a=1/2$, $r=1/2$. Sum $S = \frac{a}{1-r} = 1$.