Exercises on Numerical Series
A selection of worked examples involving infinite series:
exercise | $ \sum_{n=2}^{\infty} \frac{n+1}{n-1} $ |
exercise | $ \sum_{n=1}^{\infty} \frac{n}{2n+1} $ |
exercise | $ \sum_{n=1}^{\infty} \frac{2^n - 1}{2^n} $ |
exercise | $ \sum_{n=1}^\infty \frac{2n + 1}{n} $ |
exercise | $ \sum_{k=1}^{+\infty} \sqrt[k]{3} $ |
exercise |
$ \sum_{k=1}^{\infty} \frac{(-1)^k}{k(k+1)} $ |