Question
Find the limit if it exists. \( \lim _{x \rightarrow-4}(2 x+3) \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. \( \lim _{x \rightarrow-4}(2 x+3)=\square \) (Simplify your answer.) B. The limit does not exist.
Ask by Black Chang. in the United States
Feb 04,2025
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Answer
A. \( \lim _{x \rightarrow-4}(2 x+3)=-5 \)
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To find the limit \( \lim _{x \rightarrow-4}(2 x+3) \), we can directly substitute \( x = -4 \) into the expression. Calculating this gives: \[ 2(-4) + 3 = -8 + 3 = -5 \] Thus, the limit exists and is equal to \(-5\). So, the correct choice is: A. \( \lim _{x \rightarrow-4}(2 x+3)=-5 \)