Question
Find lim x to 3 for the equation ((-2x^2) - x).
Answers Choices. A. -39 B. -21 C. 1 D. 331
Answers Choices. A. -39 B. -21 C. 1 D. 331
Answers
GPT-4o mini
To find the limit of the expression \(-2x^2 - x\) as \(x\) approaches 3, we simply substitute \(x = 3\) into the expression:
\[
-2(3)^2 - (3)
\]
Calculating this step-by-step:
1. Calculate \((3)^2\):
\[
(3)^2 = 9
\]
2. Multiply by \(-2\):
\[
-2 \times 9 = -18
\]
3. Now subtract 3 from this result:
\[
-18 - 3 = -21
\]
Thus, the limit as \(x\) approaches 3 is:
\[
\lim_{x \to 3} (-2x^2 - x) = -21
\]
The correct answer is \( \text{B. } -21 \).
\[
-2(3)^2 - (3)
\]
Calculating this step-by-step:
1. Calculate \((3)^2\):
\[
(3)^2 = 9
\]
2. Multiply by \(-2\):
\[
-2 \times 9 = -18
\]
3. Now subtract 3 from this result:
\[
-18 - 3 = -21
\]
Thus, the limit as \(x\) approaches 3 is:
\[
\lim_{x \to 3} (-2x^2 - x) = -21
\]
The correct answer is \( \text{B. } -21 \).