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

Mylo O'Moore 2021-06-04 Answered

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

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Jaylen Fountain
Answered 2021-06-05 Author has 16919 answers

substituting \(\displaystyle{\left({2}\pi,{4}\right)}\) into the function, and the limit is 1
function is continuous in the region \(y_0< |y|\), that’s when the denominator is not zero and sin is defined.

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