Barion Pixel 2. sorozatok | mateking
 

2. sorozatok

a) \( \lim{\frac{n^3+4n^2+5}{n^4+5n^2+7}} = ? \)

b) \( \lim{\frac{n^3-6n^2+1}{n^2+5n+6}} = ? \)

c) \( \lim{\left( \frac{n^2+5n+3}{2n^2+7n} \right)^3} = ? \)

d) \( \lim{\frac{5^{n+2}+2^{n-3}+3^{2n+1}}{4^{\frac{n}{2}} +5\cdot 3^{2n+1}+ 10}} = ? \)

e) \( \lim{\frac{ \sqrt{n^2+1} + 2n }{ \sqrt[3]{n^2+6}-\sqrt[5]{n^3}+4n }} = ? \)