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