Calculus Examples

$lim_{x \to - 2} f (x) + 5 g (x)$

Step 1

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

$lim_{x \to - 2} f (x) + lim_{x \to - 2} 5 g (x)$

Step 2

Move the term $5$ outside of the limit because it is constant with respect to $x$ .

$lim_{x \to - 2} f (x) + 5 lim_{x \to - 2} g (x)$

Step 3

Evaluate the limits by plugging in $- 2$ for all occurrences of $x$ .

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Step 3.1

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

$f (- 2) + 5 lim_{x \to - 2} g (x)$

Step 3.2

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

$f (- 2) + 5 g (- 2)$

Step 4

Add $f (- 2)$ and $5 g (- 2)$ .

$6 f (- 2)$