# Limit of a Polynomial Function

In this tutorial we shall look at the limit of a polynomial function of any degree, and this is useful to solve different polynomial functions' limits.

If

is a polynomial function of degree $n$, show that

We have the given polynomial function of degree $n$

Putting $x = k$ in the above equation (i), we have

Taking the limit of equation (i) as $x \to k$, we have

Appling the value of the limit, we get

Using equation (ii), we have