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

e1s2kat26

e1s2kat26

Answered question

2021-03-09

Evaluate the following limits. lim(x,y)(2,2)y24xy2x

Answer & Explanation

Gennenzip

Gennenzip

Skilled2021-03-10Added 96 answers

Evaluate:
lim(x,y)(0,0)y24xy2x
Simplification:
lim(x,y)(0,0)y24xy2x=lim(x,y)(0,0)y222x(y2)
=lim(x,y)(0,0)(y+2)(y2)x(y2)
=lim(x,y)(0,0)(y+2)x
Apply the limit,
lim(x,y)(0,0)y24xy2x=2+22
42
=2
Hence,
lim(x,y)(0,0)y24xy2x=2
Jeffrey Jordon

Jeffrey Jordon

Expert2022-04-01Added 2605 answers

Answer is given below (on video)

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