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

Joni Kenny 2020-11-01 Answered
Evaluate the following limits.
lim(x,y)(3,3)(4x2y2)
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Expert Answer

Nichole Watt
Answered 2020-11-02 Author has 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
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Jeffrey Jordon
Answered 2022-04-01 Author has 2064 answers

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