Find the limit and discuss the continuity of the function. \lim_(x, y)\rightarrow (\frac{\pi}{4}, 2) y\cos xy

Ava-May Nelson 2021-09-18 Answered
Find the limit and discuss the continuity of the function. \(\displaystyle\lim_{{{x},{y}}}\rightarrow{\left({\frac{{\pi}}{{{4}}}},{2}\right)}{y}{\cos{{x}}}{y}\)

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Expert Answer

Isma Jimenez
Answered 2021-09-19 Author has 8028 answers

substituting \((\frac{\pi}{4},2)\) into the function, and the limit is 0.
function is continuous everywhere

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