Limit and Continuity Find the limit (if it exists) and discuss the continuity of

Lipossig 2021-10-31 Answered
Limit and Continuity Find the limit (if it exists) and discuss the continuity of the function.
lim(x,y)(1,1)xyx2+y2
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Expert Answer

Jaylen Fountain
Answered 2021-11-01 Author has 170 answers

We have,
lim(x,y)(1,1)xyx2+y2
=(1)(1)1+1
=12
Clearly the function f(x,y)=xyx2+y2 is defined everywhere except at (0,0). Thus f(x,y) is continuous everywhere except at (0,0)

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