What is the limit as x approaches 0 of (|x-5|)/(x-5) ?

The limit as x approaches 0 of (|x-5|)/(x-5) is -1

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limit as x approaches 0 of (|x-5|)/(x-5)

x \to 0 lim (\frac{∣ x - 5 ∣}{x - 5})

- 1

Solution steps

x \to 0 lim (\frac{∣ x - 5 ∣}{x - 5})

Plug in the value

x = 0

= \frac{∣ 0 - 5 ∣}{0 - 5}

Simplify

\frac{∣ 0 - 5 ∣}{0 - 5} : - 1

= - 1

\frac{- x ^{2} - 5}{( x ^{2} - 5 ) ^{2}}

y^{^{'}} + 4 y = 20, y (1) = 30

\frac{d y}{d x} = 6 x - y

f (f (x))

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

What is the limit as x approaches 0 of (|x-5|)/(x-5) ?
The limit as x approaches 0 of (|x-5|)/(x-5) is -1