Calculus Examples

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

Step 1

Move the exponent $2$ from ${(3 - x)}^{2}$ outside the limit using the Limits Power Rule.

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

Step 2

Split the limit using the Sum of Limits Rule on the limit as $x$ approaches $- 2$ .

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

Step 3

Evaluate the limit of $3$ which is constant as $x$ approaches $- 2$ .

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

Step 4

Simplify terms.

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Step 4.1

Evaluate the limit of $x$ by plugging in $- 2$ for $x$ .

${(3 + 2)}^{2}$

Step 4.2

Simplify the answer.

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Step 4.2.1

Add $3$ and $2$ .

$5^{2}$

Step 4.2.2

Raise $5$ to the power of $2$ .

$25$