find the limit if it exists.\nlim x(x - 4)\nx→3\n\nselect the correct choice below and, if necessary, fill…
find the limit if it exists.\nlim x(x - 4)\nx→3\n\nselect the correct choice below and, if necessary, fill in the answer box to complete your choice.\n\na. lim x(x - 4) = (simplify your answer.)\nx→3\n\nb. the limit does not exist.
Answer
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. $\lim_{x\rightarrow3}x(x - 4)=-3$