Question

Which of the following is a convergent series?

• A. $\Sigma_{n=1}^{\infty}(-1)^{n}\frac{1}{n}$
• B. $\Sigma_{n=1}^{\infty}a_{n}$ where $a_{n}=2, \forall n\in N$
• C. $\Sigma_{n=1}^{\infty}\frac{1}{n^{\frac{3}{4}}}$
• D. $\Sigma_{n=1}^{\infty}3^{n}$

Hint:

Remember the p-series rule: $\Sigma \frac{1}{n^p}$ converges only if $p > 1$.

Answer 1

The Correct Option is A