What is the limit as x approaches-3-of (|x-3|)/(x-3) ?

The limit as x approaches-3-of (|x-3|)/(x-3) is -1

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limit as x approaches-3-of (|x-3|)/(x-3)

x \to - 3 - lim (\frac{∣ x - 3 ∣}{x - 3})

- 1

Solution steps

x \to - 3 - lim (\frac{∣ x - 3 ∣}{x - 3})

Plug in the value

x = - 3

= \frac{∣ - 3 - 3 ∣}{- 3 - 3}

Simplify

\frac{∣ - 3 - 3 ∣}{- 3 - 3} : - 1

= - 1

\frac{d}{d x} (2 x^{3} + 4)

\int x + \frac{1}{x ^{2} + 1} d x

\frac{d}{d x} (e^{x} (x - 3))

\int 8 (tan^{2} (x) + tan^{4} (x)) d x

x, \frac{1}{2} x, 9

What is the limit as x approaches-3-of (|x-3|)/(x-3) ?
The limit as x approaches-3-of (|x-3|)/(x-3) is -1