What is the limit as x approaches 0 of (|x-2|)/(x-2) ?

The limit as x approaches 0 of (|x-2|)/(x-2) is -1

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limit as x approaches 0 of (|x-2|)/(x-2)

x \to 0 lim (\frac{∣ x - 2 ∣}{x - 2})

- 1

Solution steps

x \to 0 lim (\frac{∣ x - 2 ∣}{x - 2})

Plug in the value

x = 0

= \frac{∣ 0 - 2 ∣}{0 - 2}

Simplify

\frac{∣ 0 - 2 ∣}{0 - 2} : - 1

= - 1

\frac{d ^{4}}{d x ^{4}} (1 + x)

1 0^{5 x^{2} - 3 x}

\int_{1}^{\infty} e^{- x^{2}} d x

y = x^{2}, x = y + 2, - 1, 2

f (x) = \frac{1 + x}{e ^{x}}

What is the limit as x approaches 0 of (|x-2|)/(x-2) ?
The limit as x approaches 0 of (|x-2|)/(x-2) is -1