Question

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

Limits and continuity
ANSWERED
asked 2021-06-04

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

Answers (1)

2021-06-05

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.

0
 
Best answer

expert advice

Have a similar question?
We can deal with it in 3 hours
...