Calculus Examples

$\frac{lim_{x \to 4} 3 - x}{x - 4}$

Step 1

Split the limit using the Sum of Limits Rule on the limit as $x$ approaches $4$ .

$\frac{lim_{x \to 4} 3 - lim_{x \to 4} x}{x - 4}$

Step 2

Evaluate the limit of $3$ which is constant as $x$ approaches $4$ .

$\frac{3 - lim_{x \to 4} x}{x - 4}$

Step 3

Simplify terms.

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Step 3.1

Evaluate the limit of $x$ by plugging in $4$ for $x$ .

$\frac{3 - 4}{x - 4}$

Step 3.2

Simplify the answer.

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Step 3.2.1

Subtract $4$ from $3$ .

$\frac{- 1}{x - 4}$

Step 3.2.2

Move the negative in front of the fraction.

$- \frac{1}{x - 4}$