Calculus Examples

$lim_{x \to 0} f (x) - g (x)$

Step 1

Split the limit using the Sum of Limits Rule on the limit as $x$ approaches $0$ .

$lim_{x \to 0} f (x) - lim_{x \to 0} g (x)$

Step 2

Evaluate the limits by plugging in $0$ for all occurrences of $x$ .

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Step 2.1

Evaluate the limit of $f (x)$ by plugging in $0$ for $x$ .

$f (0) - lim_{x \to 0} g (x)$

Step 2.2

Evaluate the limit of $g (x)$ by plugging in $0$ for $x$ .

$f (0) - g (0)$

Step 3

Subtract $g (0)$ from $f (0)$ .

$0$