What is the limit as x approaches 2 of (|x-3|)/(x-3) ?

The limit as x approaches 2 of (|x-3|)/(x-3) is -1

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limit as x approaches 2 of (|x-3|)/(x-3)

x \to 2 lim (\frac{∣ x - 3 ∣}{x - 3})

- 1

Solution steps

x \to 2 lim (\frac{∣ x - 3 ∣}{x - 3})

Plug in the value

x = 2

= \frac{∣ 2 - 3 ∣}{2 - 3}

Simplify

\frac{∣ 2 - 3 ∣}{2 - 3} : - 1

= - 1

\int tan^{3} (5 x) sec^{2} (5 x) d x

\frac{d}{d x} (\frac{1 + cos ( x )}{1 - cos ( x )})

\frac{d}{d x} (\frac{sin ( x )}{1 - cos ( x )})

\frac{d}{d θ} (sin (θ))

x \to - 5 lim (\frac{( x - 5 )}{x + 5})

What is the limit as x approaches 2 of (|x-3|)/(x-3) ?
The limit as x approaches 2 of (|x-3|)/(x-3) is -1