What is the limit as x approaches+0 of (|x-3|)/(x-3) ?

The limit as x approaches+0 of (|x-3|)/(x-3) is -1

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limit as x approaches+0 of (|x-3|)/(x-3)

x \to + 0 lim (\frac{∣ x - 3 ∣}{x - 3})

- 1

Solution steps

x \to 0 lim (\frac{∣ x - 3 ∣}{x - 3})

Plug in the value

x = 0

= \frac{∣ 0 - 3 ∣}{0 - 3}

Simplify

\frac{∣ 0 - 3 ∣}{0 - 3} : - 1

= - 1

\int \frac{y ^{2} + 28 y + 196}{( y ^{2} + 196 ) ^{2}} d y

x \to - 4 lim (\frac{x ^{2} - 1}{4 - x})

\int_{0}^{1} cos (\frac{π x}{2}) d x

y^{^{''}} + 4 y^{^{'}} = (4 t - 4) sin (3 t)

n = 0 \sum \infty 0. 8^{n}

What is the limit as x approaches+0 of (|x-3|)/(x-3) ?
The limit as x approaches+0 of (|x-3|)/(x-3) is -1