Calculus Examples

$lim_{x \to - 8} {(1.002)}^{x}$

Step 1

Move the limit into the exponent.

${1.002}^{lim_{x \to - 8} x}$

Step 2

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

${1.002}^{- 8}$

Step 3

Simplify the answer.

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Step 3.1

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

$\frac{1}{{1.002}^{8}}$

Step 3.2

Raise $1.002$ to the power of $8$ .

$\frac{1}{1.01611244}$

Step 3.3

Divide $1$ by $1.01611244$ .

$0.98414304$