Calculus Examples

$\frac{lim_{x \to 1} {0.99}^{3} - 0.99}{0.99 - 1}$

Step 1

Evaluate the limit of ${0.99}^{3} - 0.99$ which is constant as $x$ approaches $1$ .

$\frac{{0.99}^{3} - 0.99}{0.99 - 1}$

Step 2

Simplify the answer.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise $0.99$ to the power of $3$ .

$\frac{0.970299 - 0.99}{0.99 - 1}$

Step 2.1.2

Subtract $0.99$ from $0.970299$ .

$\frac{- 0.019701}{0.99 - 1}$

Step 2.2

Subtract $1$ from $0.99$ .

$\frac{- 0.019701}{- 0.01}$

Step 2.3

Divide $- 0.019701$ by $- 0.01$ .

$1.9701$