Calculus Examples

$\frac{lim_{x \to 12} 13 - x}{{(x - 12)}^{2}}$

Step 1

Split the limit using the Sum of Limits Rule on the limit as $x$ approaches $12$ .

$\frac{lim_{x \to 12} 13 - lim_{x \to 12} x}{{(x - 12)}^{2}}$

Step 2

Evaluate the limit of $13$ which is constant as $x$ approaches $12$ .

$\frac{13 - lim_{x \to 12} x}{{(x - 12)}^{2}}$

Step 3

Simplify the expression.

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Step 3.1

Evaluate the limit of $x$ by plugging in $12$ for $x$ .

$\frac{13 - 12}{{(x - 12)}^{2}}$

Step 3.2

Subtract $12$ from $13$ .

$\frac{1}{{(x - 12)}^{2}}$