Question

find the limit if it exists.
lim x(x - 4)
x→3

select the correct choice below and, if necessary, fill in the answer box to complete your choice.

a. lim x(x - 4) = (simplify your answer.)
x→3

b. the limit does not exist.

Explanation:

Step1: Substitute x = 3

Substitute x = 3 into x(x - 4).
$3\times(3 - 4)$

Step2: Simplify the expression

First, calculate 3 - 4 = -1. Then, 3×(-1)= - 3.
$3\times(-1)=-3$

Answer:

A. $\lim_{x
ightarrow3}x(x - 4)=-3$