MathProblemsBank

2.1.70 Calculation of limits

condition: Find \( \lim _{n \rightarrow \infty} x_{n} \), if \( x_{n} \) is equal to: \[ \frac{1}{n^{2}} \sum_{k=1}^{n}(-1)^{k} k \]

Calculation of various limits, using L'Hopital's rule, remarkable limits, power series, equivalent values ​​of various other methods.

-> Calculation of limits