Calculus Examples

$lim_{x \to 0.0001} \frac{11^{0.0001} - 1}{0.0001}$

Step 1

Evaluate the limit of $\frac{11^{0.0001} - 1}{0.0001}$ which is constant as $x$ approaches $0.0001$ .

$\frac{11^{0.0001} - 1}{0.0001}$

Step 2

Simplify the answer.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $11$ to the power of $0.0001$ .

$\frac{1.00023981 - 1}{0.0001}$

Step 2.1.2

Subtract $1$ from $1.00023981$ .

$\frac{0.00023981}{0.0001}$

Step 2.2

Divide $0.00023981$ by $0.0001$ .

$2.39818279$