12.2: Limits and Continuity of Multivariable Functions
https://math.libretexts.org/Bookshelves/Calculus/Calculus_3e_(Apex)/12%3A_Functions_of_Several_Variables/12.02%3A_Limits_and_Continuity_of_Multivariable_Functions
WEBDec 29, 2020 · This theorem, combined with Theorems 2 and 3 of Section 1.3, allows us to evaluate many limits. Example \ (\PageIndex {3}\): Evaluating a limit. Evaluate the following limits: \ [1. \lim\limits_ { (x,y)\to (1,\pi)} \frac yx + \cos (xy) \qquad\qquad 2. \lim\limits_ { (x,y)\to (0,0)} \frac {3xy} {x^2+y^2}\] Solution.
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