Evaluate the following limits. lim_{(x,y)rightarrow(-3,3)}(4x^2-y^2)

Joni Kenny

Joni Kenny

Answered question

2020-11-01

Evaluate the following limits.
lim(x,y)(3,3)(4x2y2)

Answer & Explanation

Nichole Watt

Nichole Watt

Skilled2020-11-02Added 100 answers

Given:
lim(x,y)(3,3)(4x2y2)
Solve:
lim(x,y)(3,3)(4x2y2)
=lim(x,y)(3,3)(22x2y2)
Apply exponent rule: anbn=(ab)n
lim(x,y)(3,3)((2x)2y2)
Apply (x2y2)=(x+y)(xy)
=lim(x,y)(3,3)(2x+y)(2xy)
Plug the values
=(2(3)+3)(2(3)3)
=(6+3)(63)
(3)(9)
=27
Answer:
=lim(x,y)(3,3)(4x2y2)=27
Jeffrey Jordon

Jeffrey Jordon

Expert2022-04-01Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?