Question

Discuss the continuity of the function and evaluate the limit of f(x, y) (if it exists) as (x, y)\rightarrow (0, 0). f(x, y) = e^{xy}

Composite functions
ANSWERED
asked 2021-05-28
Discuss the continuity of the function and evaluate the limit of f(x, y) (if it exists) as \(\displaystyle{\left({x},{y}\right)}\rightarrow{\left({0},{0}\right)}.{f{{\left({x},{y}\right)}}}={e}^{{{x}{y}}}\)

Answers (1)

2021-05-29
The function is continuous everywhere - since the exponential function is continuous everywhere
substitute (0,0) into the function, we get the limit is 1 - by continuity of the function
0
 
Best answer

expert advice

Need a better answer?
...