What is the limit as x approaches 5-of (|x-5|)/(x-5) ?

The limit as x approaches 5-of (|x-5|)/(x-5) is -1

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limit as x approaches 5-of (|x-5|)/(x-5)

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

- 1

Solution steps

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

x - 5

is negative when

x \to 5 -

. Therefore

∣ x - 5 ∣ = - x + 5

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

\frac{- x + 5}{x - 5} = - 1

= x \to 5 - lim (- 1)

x \to a lim c = c

= - 1

\frac{d}{d x} (\frac{x ^{2}}{7 x + 4})

\frac{\partial}{\partial y} (x^{2} \cdot y)

\frac{d}{d x} (\frac{4 x}{6 x - 1})

x \to 4 lim (2 x - 7)

\int b x^{2} d x

What is the limit as x approaches 5-of (|x-5|)/(x-5) ?
The limit as x approaches 5-of (|x-5|)/(x-5) is -1