Question

Converges or Diverges?

Answer 1

\[\LARGE a_{n}=\frac{n^2}{\sqrt{n^3+4n}}\]

Answer 2

\[an=\frac{ n^2 }{ n^{3/2} (1+\frac{ 4 }{ n^2 })^{1/2}}=un\]

Answer 3

find limit n-> infinity of an
if the limit is finite, only then an will converge