How would I go about finding the multivariable limit to:
$$\lim_{(x,y)\to (2,-2)} \frac{x^4-y^4}{x+y}$$
The answer should be 32, but I'm not even sure how to start the problem.
Multivariable Limit $\lim_{(x,y)\to (2,-2)} \frac{x^4-y^4}{x+y}$
0
$\begingroup$
calculus
limits
multivariable-calculus
1 Answers
4
HINT: use that $$x^4-y^4=(x-y)(x+y)(x^2+y^2)$$