Calculus Examples

$lim_{x \to 0} | x | = 0$

Step 1

Move the limit inside the absolute value signs.

$| lim_{x \to 0} x | = 0$

Step 2

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

$| 0 | = 0$

Step 3

The absolute value is the distance between a number and zero. The distance between $0$ and $0$ is $0$ .

$0 = 0$