
2.1.78 Calculation of limits
condition: Calculate the limit of the sequence (reveal the uncertainties). \[ \lim _{n \rightarrow \infty} \frac{2^{n}-5^{n+2}}{2^{n+2}+5^{n+1}} \]
Calculation of various limits, using L'Hopital's rule, remarkable limits, power series, equivalent values of various other methods.