(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(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)〗

2. Relevant equations

y=kx^2 substitution.

3. 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!!

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# Homework Help: Limits of Functions with several variables

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