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

Fnd the limit, if it exists, or show that the limit does not exist.

lim [tex]_{(x,y)--> (0,0)} [x^2/(x^2 + y^2)] [/tex]

2. Relevant equations

3. The attempt at a solution

If x = 0, then f(0,y) = 0. f(x,y) --> 0 when (x,y) --> (0,0) along the y-axis.

If y = 0, then f(x,0) = 1. f(x,y) --> 1 when (,y) --> (0,0) along the x-axis.

1st, am I doing this right? By simply plugging in y = 0 or x = 0, I can determine the limit?

2nd, why am I not using L'Hospital's Rule. If (x,y) --> (0,0) then won't the function obviously go to 0/0 which is not real?

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# Limit of function of two variables

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