Find the limit and discuss the continuity of the function. \lim_{(x,y)\to

EunoR

EunoR

Answered question

2021-10-31

Find the limit and discuss the continuity of the function.
lim(x,y)(0,2)xy

Answer & Explanation

falhiblesw

falhiblesw

Skilled2021-11-01Added 97 answers

Let us find the limit and discuss the continuity of the function
Given:
lim(x,y)(0,2)xy
lim(x,y)(0,2)xy=lim(x,y)(0,2)xlim(x,y)(0,2)y
lim(x,y)(0,2)xy
=02
lim(x,y)(0,2)=0
Answer: lim(x,y)(0,2)xy=0
The function will be continuous when y0

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