Use the method of your choice to evaluate the following limits. lim_{(x,y)rightarrow(4,0)}x^2yln xy

Kye 2021-03-08 Answered
Use the method of your choice to evaluate the following limits.
lim(x,y)(4,0)x2ylnxy
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

crocolylec
Answered 2021-03-09 Author has 100 answers

Given,
We have to evaluate the limit of lim(x,y)(4,0)x2ylnxy
Calculation,
Let, y=mx, then
limx4x2(mx)lnx(mx)=limx4mx3lnmx2=64mln16m
Since the limit is path-dependent. Hence the given limit does not exist.

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