Calculus Examples

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

Step 1

Change the two-sided limit into a left sided limit.

$lim_{x \to 0^{-}} | x |$

Step 2

Move the limit inside the absolute value signs.

$| lim_{x \to 0^{-}} x |$

Step 3

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

$| 0 |$

Step 4

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

$0$