1.\:\:convergence\:\sum_{n=0}^{\infty}\frac{1}{2^{n}}
2.\:\:convergence\:\sum_{n=0}^{\infty}\frac{1}{e^{n}}
3.\:\:convergence\:\sum_{n=0}^{\infty} (-1)^{n}
4.\:\:convergence\:\sum_{n=0}^{\infty}2^{n}
5.\:\:convergence\:\sum_{n=0}^{\infty} (\frac{e}{10})^{n}
6.\:\:convergence\:\sum_{n=0}^{\infty} (\frac{2}{3})^{n}
7.\:\:convergence\:\sum_{i=0}^{\infty} (\frac{1}{5})^{i}
8.\:\:convergence\:\sum_{n=0}^{\infty} (\frac{e}{\pi})^{n}
9.\:\:convergence\:\sum_{n=0}^{\infty} \frac{1}{3^{n}}
10.\:\:convergence\:\sum_{n=0}^{\infty} 0.5^{n}
