Calculus Examples

$\frac{lim_{x \to - 4} x + 8}{x - 4}$

Step 1

Evaluate the limit.

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Step 1.1

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

$\frac{lim_{x \to - 4} x + lim_{x \to - 4} 8}{x - 4}$

Step 1.2

Evaluate the limit of $8$ which is constant as $x$ approaches $- 4$ .

$\frac{lim_{x \to - 4} x + 8}{x - 4}$

Step 2

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

$\frac{- 4 + 8}{x - 4}$

Step 3

Add $- 4$ and $8$ .

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