Calculus Examples

$lim_{x \to - 8} - 2 e^{x}$

Step 1

Evaluate the limit.

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Step 1.1

Move the term $- 2$ outside of the limit because it is constant with respect to $x$ .

$- 2 lim_{x \to - 8} e^{x}$

Step 1.2

Move the limit into the exponent.

$- 2 e^{lim_{x \to - 8} x}$

Step 2

Evaluate the limit of $x$ by plugging in $- 8$ for $x$ .

$- 2 e^{- 8}$

Step 3

Simplify the answer.

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Step 3.1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$- 2 \frac{1}{e^{8}}$

Step 3.2

Combine $- 2$ and $\frac{1}{e^{8}}$ .

$\frac{- 2}{e^{8}}$

Step 3.3

Move the negative in front of the fraction.

$- \frac{2}{e^{8}}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{e^{8}}$

Decimal Form:

$- 0.00067092 \dots$