Question 40The limiting sum of the infinite series $$ \frac1{10}+\frac2{10^2}+\frac3{10^3}+\cdots, $$ whose $n$th term is $\frac{n}{10^n},$ is:$\dfrac19$$\dfrac{10}{81}$$\dfrac18$$\dfrac{17}{72}$larger than any finite quantity