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mit_hacker
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Homework Statement
(Q) By considering different paths of approach, show that the limit of the following function does not exist:
lim┬((x,y)→(0,0))〖y/(x^2-y)〗
Homework Equations
y=kx^2 substitution.
The Attempt at a Solution
After substituting, the functions becomes k/(1-k^2). thus, when we consider different paths of approach, (i.e.) when k takes different values, the value of the limit will be different and hence, the limit does not exist.
Can someone please tell me if I'm doing it right? Thanks a ton!