Convergence of $\frac{n^2+2}{n^2+3n}$ to $1$

Give the definition for convergence of a sequence of real numbers \((a_n)_{n=1}^\infty\) to a real number \(a\). Prove that \[ a_n=\frac{n^2+2}{n^2+3n} \] converges to \(1\).