Chapter 13.2, Problem 2E

If f is a polynomial or a rational function and a is in the domain of f, then $\underset{x\to a}{\lim }f(x)=\_\_\_\_\_\_$.

To determine

To fill: The value of limit of polynomial function.

Answer to Problem 2E

The value of limit of polynomial function is, $\underset{x\to a}{\lim }f\left(x\right)=\underset{\_}{f\left(a\right)}$.

Explanation of Solution

Given:

When f is polynomial or rational function and a is in the domain of f.

When a is in domain of f then limit of polynomial or rational function is equal to the function of a, because the value of f is defined for all value of a.

Function f is continuous at a because it define for all values of a.

Thus, the value of limit of polynomial function is, $\underset{x\to a}{\lim }f\left(x\right)=\underset{\_}{f\left(a\right)}$.