To find the limit , we start by substituting :

The numerator becomes:

The denominator becomes:

Since the denominator approaches 0 while the numerator approaches 42, we have an indeterminate form. To resolve this, we can factor the denominator.

The denominator can be factored by finding the roots using the quadratic formula:

This gives us the roots:

Thus, we can factor the denominator as:

Now, we rewrite our limit:

Next, we can simplify by canceling the factor in both the numerator and denominator. We need to find the limit of the remaining expression. To do this, we evaluate the limit:

We’ll again substitute :
In the numerator:

In the denominator:

Putting it all together, we have:

Thus, the limit is: