Let $\left\{a_{n} ight\}$ be a sequence given by $a_{n}=\frac{n^{2}- n+5}{5 n^{2}+2 n-3}$. Use the definition of convergent sequences to show that this sequence is convergent and find its limit. CS.VS. 1740| Let $\left\{a_{n} ight\}$ be a sequence given by $a_{n}=\frac{n^{2}- n+5}{5 n^{2}+2 n-3}$. Use the definition of convergent sequences to show that this sequence is convergent and find its limit. CS.VS. 1740|