Consider the following two sequences {an} and {bn} given by
an = \(\rm\frac{1}{\sqrt{n^2+1}}+\frac{1}{\sqrt{n^2+2^2}}+\cdots+\frac{1}{\sqrt{2n^2}}\)
bn = \(\frac{1}{n^2+1}+\frac{2}{n^2+2}+...+\frac{n}{n^2+n}\)
Which of the following statements are true?
1
{an} is converges to π/2
2
{bn} is converges to 1/2
3
{an} and {bn} both convergent
4
{an} and {bn} both divergent