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

Lipossig

Lipossig

Answered question

2021-10-31

Limit and Continuity Find the limit (if it exists) and discuss the continuity of the function.
lim(x,y)(1,1)xyx2+y2

Answer & Explanation

Jaylen Fountain

Jaylen Fountain

Skilled2021-11-01Added 169 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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