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

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

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