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.

asked 2021-06-26

asked 2021-05-01

\(\lim_{(x,y,z) \rightarrow (-3,1,2)}\frac{\ln z}{xy-z}\)

asked 2021-02-03

\(\lim_{x\rightarrow1} f(x)\)

asked 2020-11-30

Use L'Hospital Rule to evaluate the following limits.

\(\lim_{x\rightarrow0}(\tan h x)^x\)

asked 2021-02-26

\(\lim_{x\rightarrow2}\frac{5\cdot x^2-20}{x-2}\)

asked 2021-02-22

Solve \(\lim_{x\rightarrow 1}\frac{(x^{4}-4)}{(x^{2}-3x+2)}\)

asked 2021-09-12

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