Calculus Examples

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

Step 1

Cancel the common factor of $x$ .

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Step 1.1

Cancel the common factor.

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

Step 1.2

Rewrite the expression.

$lim_{x \to 0} | 1 |$

Step 2

Evaluate the limit of $| 1 |$ which is constant as $x$ approaches $0$ .

$| 1 |$

Step 3

The absolute value is the distance between a number and zero. The distance between $0$ and $1$ is $1$ .

$1$