- #1
Odyssey
- 87
- 0
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?
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.
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.