A$.$ Evaluate the following limit for the function $f(x,y)=e^{x^2-y^2}.$ Give your answer in exact form $--$ no decimal answers. Leave any negative exponent as is$.$

$\underset{(x,y)(3,4)}{lim}{e}^{x^2-y^2}=$

Use pi for $,$ DNE for does not exist, oo $($double o$\text{'}$s$)$ for infinity or $-00$ for negative infinity.

B$.$ Select the correct statement about the continuity of the function at the given point:

the function is not continuous at $(3,4)$

the function is continuous at $(3,4)$ because the limit is equal to $f(3,4)$

the function is continuous at $(3,4)$ because the function is defined at that point

the function is continuous at $(3,4)$ because the limit exists