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

Mylo O'Moore

Mylo O'Moore

Answered question

2021-06-04

Find the limit and discuss the continuity of the function. limx,y2π,4sinxy

Answer & Explanation

Jaylen Fountain

Jaylen Fountain

Skilled2021-06-05Added 169 answers

substituting (2π,4) into the function, and the limit is 1
function is continuous in the region y0<|y|, that’s when the denominator is not zero and sin is defined.

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