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:
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Calculate \((3)^2\): \[ (3)^2 = 9 \]
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Multiply by \(-2\): \[ -2 \times 9 = -18 \]
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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 \( \text{B. } -21 \).
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