I need to show whether the following serie converges or diverges:
$\sum_{n=0}^{\infty} (-1)^n \frac{\sqrt{n}}{n+100}$
I need to use ONLY Leibniz's rule. I started by writing:
$\sum_{n=0}^{\infty} (-1)^{n-1}(- \frac{\sqrt{n}}{n+100})$
Now I wanted to show that $- \dfrac{\sqrt{n}}{n+100}$ decreases but I am having trouble showing that.
Can someone help me please.
Thank you in advance