## Challenge for the Weak 2 - P1

#### Contributed by: cauchy

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#### Difficulty: 9

#### This problem is tagged with cw, cw2.

Evaluate the following limit:
$$
\lim_{n \to \infty} \sum_{k=1}^{n} \frac{2k + 1}{k^2(k+1)^2}
$$
A. $0$

B. $\frac{1}{3}$

C. $\frac{2}{3}$

D. $1$

E. $\frac{4}{3}$

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

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