Calculus Examples

$lim_{x \to 8} \frac{1}{{(0.98)}^{x}}$

Step 1

Evaluate the limit.

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Step 1.1

Split the limit using the Limits Quotient Rule on the limit as $x$ approaches $8$ .

$\frac{lim_{x \to 8} 1}{lim_{x \to 8} {(0.98)}^{x}}$

Step 1.2

Evaluate the limit of $1$ which is constant as $x$ approaches $8$ .

$\frac{1}{lim_{x \to 8} {(0.98)}^{x}}$

Step 1.3

Move the limit into the exponent.

$\frac{1}{{0.98}^{lim_{x \to 8} x}}$

Step 2

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

$\frac{1}{{0.98}^{8}}$

Step 3

Simplify the answer.

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Step 3.1

Raise $0.98$ to the power of $8$ .

$\frac{1}{0.85076302}$

Step 3.2

Divide $1$ by $0.85076302$ .

$1.17541544$