Mathematics I (Calculus) - Old Questions

Let f(x, y) be a function of two variables x and y and L be a number. The we say L is the limit of f(x, y) at point (x₀, y₀) if

Now,

[This form is in  as ]

We can find its limit by rewriting it into the form   wherein L'Hospital's rule can be applied if it is applicable.

Applying L'Hospital's rule