Calculus Examples

$lim_{x \to 0} x c x c x$

Step 1

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

$c \cdot c lim_{x \to 0} x \cdot x \cdot x$

Step 2

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

$c \cdot c lim_{x \to 0} x \cdot lim_{x \to 0} x \cdot lim_{x \to 0} x$

Step 3

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

Tap for more steps...

Step 3.1

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

$c \cdot c \cdot 0 \cdot lim_{x \to 0} x \cdot lim_{x \to 0} x$

Step 3.2

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

$c \cdot c \cdot 0 \cdot 0 \cdot lim_{x \to 0} x$

Step 3.3

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

$c \cdot c \cdot 0 \cdot 0 \cdot 0$

Step 4

Simplify the answer.

Tap for more steps...

Step 4.1

Multiply $c$ by $c$ .

$c^{2} \cdot 0 \cdot 0 \cdot 0$

Step 4.2

Multiply $c^{2}$ by $0$ .

$0 \cdot 0 \cdot 0$

Step 4.3

Multiply $0 \cdot 0 \cdot 0$ .

Tap for more steps...

Step 4.3.1

Multiply $0$ by $0$ .

$0 \cdot 0$

Step 4.3.2

Multiply $0$ by $0$ .

$0$