(a) \(\displaystyle{\sum_{n=1}^{\infty}\frac{1}{n^2+3n+5}}\) solution |
(c) \(\displaystyle{\sum_{n=1}^{\infty}\frac{2^n}{3^n+1}}\) solution |
(b) \(\displaystyle{\sum_{n=1}^{\infty}\frac{n^2}{n^3-2}}\) solution |
(d) \(\displaystyle{\sum_{n=1}^{\infty}\frac{\cos^2 n}{n^3}}\) solution |
(a) \(\displaystyle{\sum_{n=1}^{\infty} \frac{1}{3n+5}}\) solution |
(d) \(\displaystyle{\sum_{n=1}^{\infty} \frac{5n^4+2\cdot3^n-1}{2n^4+4^n+2}}\) solution |
(b) \(\displaystyle{\sum_{n=1}^{\infty} \frac{n-1}{3n \sqrt{n}}}\) solution |
(e) \(\displaystyle{\sum_{n=1}^{\infty} \frac{2n^2-3n+5}{3n^4+5n^2+4n-3}}\) solution |
(c) \(\displaystyle{\sum_{n=5}^{\infty} \frac{n+6}{(n+3)^{5}}}\) solution |
(f) \(\displaystyle{\sum_{n=1}^{\infty} \frac{7n+3^{n}}{2n+5^{n}}}\) solution |