2.1.75 Calculation of limits
condition: Find the limits of functions without using L'Hopital's rule: a) \( \lim _{x \rightarrow \infty} \frac{2 x^{4}-7 x+1}{x^{4}+2 x^{3}-x} \) b) \( \lim _{x \rightarrow 4} \frac{x-4}{\sqrt{5 x+5-5}} \) B) \( \lim _{x \rightarrow 0} x \cot 5 x \).
Calculation of various limits, using L'Hopital's rule, remarkable limits, power series, equivalent values of various other methods.