Precalculus Examples

$\sum_{k = 0}^{2} x^{k}$

Step 1

Expand the series for each value of $k$ .

$x^{0} + x^{1} + x^{2}$

Step 2

Simplify each term.

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Step 2.1

Anything raised to $0$ is $1$ .

$1 + x^{1} + x^{2}$

Step 2.2

Simplify.

$1 + x + x^{2}$

$1 + x + x^{2}$

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