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

e1s2kat26 2021-03-09 Answered
Evaluate the following limits. lim(x,y)(2,2)y24xy2x
You can still ask an expert for help

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more

Solve your problem for the price of one coffee

  • Available 24/7
  • Math expert for every subject
  • Pay only if we can solve it
Ask Question

Expert Answer

Gennenzip
Answered 2021-03-10 Author has 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
Not exactly what you’re looking for?
Ask My Question
Jeffrey Jordon
Answered 2022-04-01 Author has 2087 answers

Expert Community at Your Service

  • Live experts 24/7
  • Questions are typically answered in as fast as 30 minutes
  • Personalized clear answers
Learn more