Question

True or False The limit of a polynomial function as $x$approaches $5$equals the value of the polynomial at $5$

Short answer

True

Step-by-step solution

Step 1. Limit of a polynomial theorem

If$P\left(x\right)$ is a polynomial function then,

$\underset{x\to c}{\lim }P\left(x\right)=P\left(c\right)$.

Step 2. Theorem in words

To find the limit of a polynomial as $x$approaches $c$all we need to do is evaluate the polynomial at $c$.

Therefore the statement "the limit of a polynomial function as $x$approaches $5$equals the value of the polynomial at $5$" is TRUE.