I need to prove that this limit doesn't exists:
\(\displaystyle lim_{(x,y) -> (1,2)}\,\dfrac{xy-2x-y+2}{x^2+y^2-2x-4y+5}\)
With the two-path test, all I get is 0, I could not find a different result.
Paths I've already tried:
x=1
y=2
y=2x
y=2x²
y=-x+3
\(\displaystyle lim_{(x,y) -> (1,2)}\,\dfrac{xy-2x-y+2}{x^2+y^2-2x-4y+5}\)
With the two-path test, all I get is 0, I could not find a different result.
Paths I've already tried:
x=1
y=2
y=2x
y=2x²
y=-x+3
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