Guest Session: 1 Question Remaining. Create Account to save progress.
Login
Infinite Serieseasy
0:00.0

Use partial fractions to decompose 1(2n−1)(2n+1)\frac{1}{(2n-1)(2n+1)}(2n−1)(2n+1)1​ and then find the sum of the telescoping series: ∑n=1∞1(2n−1)(2n+1)\sum_{n=1}^{\infty} \frac{1}{(2n-1)(2n+1)}∑n=1∞​(2n−1)(2n+1)1​