MathProblemsBank

2.1.64 Calculation of limits

Condition: Calculate the limit of a function of two variables: \[ \lim _{\substack{x \rightarrow 0 \\ y \rightarrow 0}} \frac{x^{2}-2 y^{2}}{x^{2}+y^{2}} \]

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

-> Calculation of limits