Question

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

Limits and continuity
ANSWERED
asked 2021-06-26

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

Expert Answers (1)

2021-06-27

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

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