Question

How do I approach this series question?
a_n=sqrt(n+1/9n+1) Convergent or divergent?

Answer 1

\[a_n=\sqrt{\frac{ n+1 }{ 9n+1}}\]

Answer 2

Do I break them up into 2 square roots, divide by n, and take the limit?

Answer 3

you can divide numerator and denominator by "n" inside the radical and take the limit