Question $11(10$ points$)$

Consider the function $f(x,y)=\{\begin{array}{ccc}\frac{3x^{2}y}{x^2{y}^2}& if(x,y)(0,& 0)\\ 0& if(x,y)=(0,& 0)\end{array}$

a$.$ Find $\underset{(x,y)(0,0)}{lim}f(x,y).$

b$.$ Is $f(x,y)$ continuous at $(0,0)?$ Justify your answer. Note: Your answer must include justification. A response of yes or no is insufficient.