Calculus Examples

$lim_{x \to 0} f (x - 1) g (x)$

Step 1

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

$lim_{x \to 0} f (x - 1) \cdot lim_{x \to 0} g (x)$

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 $f (x - 1)$ by plugging in $0$ for $x$ .

$f (0 - 1) \cdot lim_{x \to 0} g (x)$

Step 2.2

Subtract $1$ from $0$ .

$f (- 1) \cdot lim_{x \to 0} g (x)$

Step 2.3

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

$f (- 1) \cdot g (0)$

$f (- 1) g (0)$