Calculus Examples

$\frac{lim_{x \to 0} {(0.001)}^{3} + 15 {(0.001)}^{2}}{{(0.001)}^{2}}$

Step 1

Evaluate the limit of ${(0.001)}^{3} + 15 {(0.001)}^{2}$ which is constant as $x$ approaches $0$ .

$\frac{{(0.001)}^{3} + 15 {(0.001)}^{2}}{{(0.001)}^{2}}$

Step 2

Simplify the answer.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $0.001$ to the power of $3$ .

$\frac{0 + 15 \cdot {0.001}^{2}}{{0.001}^{2}}$

Step 2.1.2

Raise $0.001$ to the power of $2$ .

$\frac{0 + 15 \cdot 0.000001}{{0.001}^{2}}$

Step 2.1.3

Multiply $15$ by $0.000001$ .

$\frac{0 + 0.000015}{{0.001}^{2}}$

Step 2.1.4

Add $0$ and $0.000015$ .

$\frac{0.000015}{{0.001}^{2}}$

Step 2.2

Raise $0.001$ to the power of $2$ .

$\frac{0.000015}{0.000001}$

Step 2.3

Divide $0.000015$ by $0.000001$ .

$15.001$