2.1.76 Calculation of limits
Condition: Find the limits of the functions: a) \( \lim _{x \rightarrow \infty} \frac{x^{3}-1}{x^{2}+3 x} \) b) \( \lim _{x \rightarrow 0}\left(x^{3}+\frac{2}{3} x+2\right) \).
Calculation of various limits, using L'Hopital's rule, remarkable limits, power series, equivalent values of various other methods.