Chapter 11.2, Problem 37PS

To determine

To find: The value of limit $\underset{\left(x,y\right)\to \left(3,1\right)}{\lim }f\left(x,y\right)$ , where $f\left(x,y\right)=\frac{x^2+2y^2}{x^2+y^2}$ for $\left(x,y\right)\ne \left(0,0\right)$ .

To determine

To show: The function $f\left(x,y\right)=\frac{x^2+2y^2}{x^2+y^2}$ has no limit at $\left(0,0\right)$ .