1.
a) \( \lim{ \frac{\sqrt{n^3+7}-n^2+n}{n^2+6n-\sqrt[3]{n^4}} } = ?\)
b) \( \lim{ \frac{\sqrt[3]{n^4-8n}+n^2+3n}{\sqrt{9n^4+1}-\sqrt{n^5+n^4}+n-n^2} } = ?\)
c) \( \lim{ \frac{\sqrt{n^4+7}-3n^2+n}{n^2+4n-\sqrt[5]{n^4}} } = ?\)
2.
a) \( \lim{ \frac{2^n-4\cdot 3^{n+2}}{5\cdot 3^{n-1} +2^{n+5} } } = ?\)
b) \( \lim{ \frac{5^n-4\cdot 6^{n+2}}{ 3^{2n+1}+5^{n+2} } } = ?\)
c) \( \lim{ \frac{ \left( (-1)^n +4 \right)^n -2 \cdot 3^{n+2}}{ 4 \cdot 3^{n+1} + 2^{-n}} } = ?\)
