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})

x - 3

is negative when

x \to 3 -

. Therefore

∣ x - 3 ∣ = - x + 3

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

\frac{- x + 3}{x - 3} = - 1

= x \to 3 - lim (- 1)

x \to a lim c = c

= - 1

\frac{d}{d x} (arcsin (1 - x))

\frac{d y}{d t} = 100 - y, y (0) = 15

(2 x - 1)^{2} (x^{3} + 1)^{2}

y = cos (\frac{π t}{4} - \frac{π}{3})

\int \frac{2}{x ^{5}} d x

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