Calculus Examples

$f (0.0001) = {(1 + 5 x)}^{\frac{1}{x}}$

Step 1

Replace the variable $x$ with $0.0001$ in the expression.

$f (0.0001) = {(1 + 5 (0.0001))}^{\frac{1}{0.0001}}$

Step 2

Simplify the result.

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Step 2.1

Multiply $5$ by $0.0001$ .

$f (0.0001) = {(1 + 0.0005)}^{\frac{1}{0.0001}}$

Step 2.2

Add $1$ and $0.0005$ .

$f (0.0001) = {1.0005}^{\frac{1}{0.0001}}$

Step 2.3

Divide $1$ by $0.0001$ .

$f (0.0001) = {1.0005}^{10000}$

Step 2.4

Raise $1.0005$ to the power of $10000$ .

$f (0.0001) = 148.22782029$

Step 2.5

The final answer is $148.22782029$ .

$148.22782029$

Step 3