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

Kye

Kye

Answered question

2021-03-08

Use the method of your choice to evaluate the following limits.
lim(x,y)(4,0)x2ylnxy

Answer & Explanation

crocolylec

crocolylec

Skilled2021-03-09Added 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.

Jeffrey Jordon

Jeffrey Jordon

Expert2022-04-01Added 2605 answers

Answer is given below (on video)

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