The value of is equal to

MATHEMATICS · Single correct · AoPS · Mathematics · Sequences & Series · Sequences & Series

Problem

The value of

\lim_{n \rightarrow \infty} \frac{1}{1.3} + \frac{1}{3.5} + \frac{1}{5.7} + \frac{1}{7.9} + \dots + \frac{1}{(2n-1)(2n+1)}

is equal to (a) 1/2 (b) 1/3 (c) 1/4 (d) None of these