Calculus Examples

$lim_{z \to 3} z (2 z - z^{2})$

Step 1

Evaluate the limit of $z (2 z - z^{2})$ by plugging in $3$ for $z$ .

$z (2 \cdot 3 - 3^{2})$

Step 2

Simplify each term.

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Step 2.1

Multiply $2$ by $3$ .

$z (6 - 3^{2})$

Step 2.2

Raise $3$ to the power of $2$ .

$z (6 - 1 \cdot 9)$

Step 2.3

Multiply $- 1$ by $9$ .

$z (6 - 9)$

Step 3

Subtract $9$ from $6$ .

$z (- 3)$