Trivial Convergences!
Posted: Sat Apr 12, 2014 10:40 am
Prove whether the given expressions are convergent or divergent and evaluate:
1. $\displaystyle \sum_{n=0}^{\infty} \dfrac{n}{11^n}$
2. $\displaystyle\sum_{n=0}^{\infty} \dfrac{2^n}{n!}$
3. $\displaystyle\sum_{n=0}^{\infty} \dfrac{n+1}{n!}$
1. $\displaystyle \sum_{n=0}^{\infty} \dfrac{n}{11^n}$
2. $\displaystyle\sum_{n=0}^{\infty} \dfrac{2^n}{n!}$
3. $\displaystyle\sum_{n=0}^{\infty} \dfrac{n+1}{n!}$