Chapter 14.2, Problem 1PT

To determine

Whether the statement “If $\underset{\left(x,y\right)\to \left(a,b\right)}{\lim }f\left(x,y\right)=L$ and $\underset{\left(x,y\right)\to \left(a,b\right)}{\lim }g\left(x,y\right)=M\ne 0$, then $\underset{\left(x,y\right)\to \left(a,b\right)}{\lim }\frac{f\left(x,y\right)}{g\left(x,y\right)}=\frac{L}{M}$” is true or false.