Calculus Examples

$lim_{h \to 0} {(1 + 6 (- 0.0001))}^{\frac{1}{- 0.0001}}$

Step 1

Evaluate the limit of ${(1 + 6 (- 0.0001))}^{\frac{1}{- 0.0001}}$ which is constant as $h$ approaches $0$ .

${(1 + 6 (- 0.0001))}^{\frac{1}{- 0.0001}}$

Step 2

Simplify the answer.

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Step 2.1

Multiply $6$ by $- 0.0001$ .

${(1 - 0.0006)}^{\frac{1}{- 0.0001}}$

Step 2.2

Subtract $0.0006$ from $1$ .

${0.9994}^{\frac{1}{- 0.0001}}$

Step 2.3

Divide $1$ by $- 0.0001$ .

${0.9994}^{- 10000}$

Step 2.4

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

$\frac{1}{{0.9994}^{10000}}$

Step 2.5

Raise $0.9994$ to the power of $10000$ .

$\frac{1}{0.00247429}$

Step 2.6

Divide $1$ by $0.00247429$ .

$404.15591039$