What is the limit as x approaches 4 of (|x|)/x ?

The limit as x approaches 4 of (|x|)/x is 1

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limit as x approaches 4 of (|x|)/x

x \to 4 lim (\frac{∣ x ∣}{x})

1

Solution steps

x \to 4 lim (\frac{∣ x ∣}{x})

Plug in the value

x = 4

= \frac{∣ 4 ∣}{4}

Simplify

\frac{∣ 4 ∣}{4} : 1

= 1

\frac{d}{d x} (\frac{1}{2 + x ^{2}})

\frac{x ^{2}}{4 + x}

n = 0 \sum \infty \frac{1}{3 n + 2}

n = 4 \sum \infty \frac{2}{n ^{2} - 1}

n \to \infty lim (- 2 (n - 4))

What is the limit as x approaches 4 of (|x|)/x ?
The limit as x approaches 4 of (|x|)/x is 1