QuestionFind the limit as $x$ approaches -1 for the expression $-2x^3 - x + 5$ .

Studdy Solution

STEP 1

Assumptions1. We are asked to find the limit of the function $-x^3 - x +5$ as $x$ approaches $-1$ . . We will use the direct substitution method to find the limit.

STEP 2

The direct substitution method involves substituting the value that $x$ is approaching into the function. In this case, we substitute $-1$ into $-2x^ - x +5$ .
$\lim{x \rightarrow-1}\left(-2 x^{}-x+5\right) = -2(-1)^ - (-1) +5$

STEP 3

Calculate the value of the expression.
$-2(-1)^3 - (-1) +5 = -2(-1) +1 +5 =2 +1 +5 =8$ So, the limit of the function $-2x^3 - x +5$ as $x$ approaches $-1$ is $8$ .

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