The value of \[\underset{n\to \infty }{\mathop{\lim }}\,\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{(2n-1)(2n+1)}\] is equal to [DCE 2005]

The value of \[\underset{n\to \infty }{\mathop{\lim }}\,\frac{1}{1.3}+

1.	The value of \[\underset{n\to \infty }{\mathop{\lim }}\,\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{(2n-1)(2n+1)}\] is equal to [DCE 2005]
A.	½
B.	1/3
C.	¼
D.	None of these
Answer» B. 1/3

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The value of \[\underset{n\to \infty }{\mathop{\lim }}\,\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+\frac{1}{7.9}+...+\frac{1}{(2n-1)(2n+1)}\] is equal to [DCE 2005]

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