## Challenge for the Weak 1 - P3

#### Contributed by: cauchy

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#### Difficulty: 9

#### This problem is tagged with cw, cw1.

Calculate $L = \lim_{n \to \infty} \sum_{k=0}^{n} \frac{k+1}{10^k}$.

A. $L = \infty$

B. $L = \frac{10}{9}$

C. $L = \frac{10}{81}$

D. $L = \frac{1000}{9}$

E. $L = \frac{100}{81}$

F. $L = \frac{9}{10}$

Your answer should be a single capitalized letter, e.g. "A".

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