Solution
= Solution
The summand is $\sqrt n/\sqrt{n+1}=\sqrt{n/(n+1)}\to1$, rather than zero. The necessary <term test for divergence> fails. Therefore the positive-term series \b[diverges to $+\infty$].
= Solution
The summand is $\sqrt n/\sqrt{n+1}=\sqrt{n/(n+1)}\to1$, rather than zero. The necessary <term test for divergence> fails. Therefore the positive-term series \b[diverges to $+\infty$].