2.1.71 Calculation of limits
condition: Calculate the limits: 1) \( \lim _{x \rightarrow 4} \frac{4^{x}-x^{4}}{(x-4)^{2}} \) 2) \( \lim _{x \rightarrow 0} \frac{\arctan 4 x-\tan 4 x}{x^{3}} \), 3) \( \lim _{x \rightarrow+\infty} \frac{x^{4}+4^{x}}{4 x^{3}-2} \).
Calculation of various limits, using L'Hopital's rule, remarkable limits, power series, equivalent values of various other methods.