Calculus Examples

f (0.99) = \frac{x^{3} - x}{x - 1}

$f (0.99) = \frac{x^{3} - x}{x - 1}$

Step 1

Replace the variable

x

$x$ with

0.99

$0.99$ in the expression.

f (0.99) = \frac{{(0.99)}^{3} - (0.99)}{(0.99) - 1}

$f (0.99) = \frac{{(0.99)}^{3} - (0.99)}{(0.99) - 1}$

Step 2

Simplify the result.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Raise

0.99

$0.99$ to the power of

3

$3$ .

f (0.99) = \frac{0.970299 - (0.99)}{0.99 - 1}

$f (0.99) = \frac{0.970299 - (0.99)}{0.99 - 1}$

Step 2.1.2

Multiply

- 1

$- 1$ by

0.99

$0.99$ .

f (0.99) = \frac{0.970299 - 0.99}{0.99 - 1}

$f (0.99) = \frac{0.970299 - 0.99}{0.99 - 1}$

Step 2.1.3

Subtract

0.99

$0.99$ from

0.970299

$0.970299$ .

f (0.99) = \frac{- 0.019701}{0.99 - 1}

$f (0.99) = \frac{- 0.019701}{0.99 - 1}$

f (0.99) = \frac{- 0.019701}{0.99 - 1}

$f (0.99) = \frac{- 0.019701}{0.99 - 1}$

Step 2.2

Simplify the expression.

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Step 2.2.1

Subtract

1

$1$ from

0.99

$0.99$ .

f (0.99) = \frac{- 0.019701}{- 0.01}

$f (0.99) = \frac{- 0.019701}{- 0.01}$

Step 2.2.2

Divide

- 0.019701

$- 0.019701$ by

- 0.01

$- 0.01$ .

f (0.99) = 1.9701

$f (0.99) = 1.9701$

f (0.99) = 1.9701

$f (0.99) = 1.9701$

Step 2.3

The final answer is

1.9701

$1.9701$ .

1.9701

$1.9701$

1.9701

$1.9701$

Step 3

⎡ ⎢ ⎣ \begin{matrix} x^{2} & \frac{1}{2} \sqrt{π} & \int x d x \end{matrix} ⎤ ⎥ ⎦

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$