Calculus Examples

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

Step 1

Move the limit inside the absolute value signs.

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

Step 2

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

$\frac{| 0 |}{x}$

Step 3

Simplify the answer.

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Step 3.1

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

$\frac{0}{x}$

Step 3.2

Divide $0$ by $x$ .

$0$