How can I calculate the following limits or prove that don't exist:

a) $\displaystyle \lim_{(x,y) \to (0,0)} \frac {x^4 + y^4}{x^2 + y^2}$

b) $\displaystyle \lim_{(x,y) \to (0,0)} \frac {x^2 - y^2}{x^2 + y^2}$

Thanks in advance

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- Mar 24th 2009, 01:11 PMypatiaLimits in two Dimensions
How can I calculate the following limits or prove that don't exist:

a) $\displaystyle \lim_{(x,y) \to (0,0)} \frac {x^4 + y^4}{x^2 + y^2}$

b) $\displaystyle \lim_{(x,y) \to (0,0)} \frac {x^2 - y^2}{x^2 + y^2}$

Thanks in advance - Mar 24th 2009, 01:22 PMrunning-gag