Hi, in evaluating limits of several variables, is there a general method in approaching it? The plugging in the values method is easy, but the harder limits such as those 0/0 form...is there a general guideline to solving those problems?(adsbygoogle = window.adsbygoogle || []).push({});

How do I evaulate the following limits? (need tips and hints, not answer :tongue2:)

[tex]\lim_{\substack{x\rightarrow 0\\y\rightarrow 0}} f(x,y) = \frac{(x-1)^2\ln{x}}{(x-1)^2y^2}[/tex]

[tex]\lim_{\substack{x\rightarrow 0\\y\rightarrow 0}} f(x,y)=\frac{x^2y}{x^2+y^2}[/tex]

[tex]\lim_{\substack{x\rightarrow 0\\y\rightarrow 0}} f(x,y)=\frac{x^2+y^2-z^2}{x^2+y^2+z^2}[/tex]

[tex]\lim_{\substack{x\rightarrow 0\\y\rightarrow 0}} f(x,y)=\frac{4xy}{3y^2-x^2}[/tex]

Thank you for the help.

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# Homework Help: Evaluating limits of several variables

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