- #1
Imaxx
- 5
- 0
While transforming the equation of the Basel problem, the following infinite series was obtained.
$$\sum_{n=1}^{\infty} \frac{n^2+3n+1}{n^4+2n^3+n^2}=2$$
However I couldn't think of a simple way to prove that.
Can anyone prove that this equation holds true?
$$\sum_{n=1}^{\infty} \frac{n^2+3n+1}{n^4+2n^3+n^2}=2$$
However I couldn't think of a simple way to prove that.
Can anyone prove that this equation holds true?