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. $\displaystyle\sum_{n=0}^{\infty} \dfrac{n+1}{n!}$
Trivial Convergences!
- What is the value of the contour integral around Western Europe?
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.
- Zero.
- Why?
- Because all the poles are in Eastern Europe.
Revive the IMO marathon.