Question

$$\lim _ { x \rightarrow 3 } \frac { x ^ { 2 } + y ^ { 2 } } { x ^ { 2 } - y }$$

Evaluate

$\lim_{x\to 3}\frac{x^{2}+y^{2}}{x^{2}-y}$

Differentiate w.r.t. y

$\frac{\mathrm{d}}{\mathrm{d}y}(\lim_{x\to 3}\frac{x^{2}+y^{2}}{x^{2}-y})$