How would one calculate the following limit with basic pre calculus knowledge? I would like to see the process of dividing this expression with the highest power - $25^n$.
$\lim_{n \to \infty}\left({\frac{2^{2n+1}+3\cdot 5^{2n+1}}{2\cdot3^{2n-1}+25^{n}}}\right)$
EDIT:
If this expression would have a $(-1)^{n}$ in it, what would the limit be.
$\lim_{n \to \infty}\left({\frac{2^{2n+1}+3\cdot 5^{2n+1}}{2\cdot3^{2n-1}+(-1)^{n}25^{n}}}\right)$