Question

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

Short answer

The blank place will be filled up by$f\left(a\right)$.

Step-by-step solution

Step 1. Given information.

We have to complete the formula.

Step 2. Concept used.

Use Limit by direct substitution.

Step 3. Explain the concept.

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

Therefore, required answer is$f\left(a\right)$.