- #1
Design
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Homework Statement
Show that lim(x,y) -> (0,0) f(x,y) does not exist
Homework Equations
f(x,y) = x2 + y / (x2 + y2)1/2
The Attempt at a Solution
Let x = rcosθ y=rsinθ
so f(x,y) = r2cos2θ + rsinθ / (r2cos2θ + r2sin2θ)1/2
= r(rcos2θ + sinθ) / ( r2 (cos2θ + sin2θ))1/2
= rcos2θ + sinθ
Don't know how to proceed the reasoning from here outthank you