Consider the following infinite series:
(a) \(\displaystyle \sum_{n=1}^{\infty}\sqrt{ \frac{\sqrt n+1}{n\sqrt n+1}}\) (b) \(\displaystyle \sum_{n=1}^{\infty}\frac{2^n}{3^n+5}\)
Which one of the following statements is true?
1
(a) is not convergent, but (b) is convergent.
2
(a) is convergent, but (b) is not convergent.
3
Neither (a) nor (b) is convergent.
4
Both (a) and (b) are convergent.