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

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

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

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

- 1

Solution steps

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

x - 5

is positive when

x \to 5 +

. Therefore

∣ x - 5 ∣ = x - 5

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

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

= x \to 5 + lim (- 1)

x \to a lim c = c

= - 1

\int \frac{8}{x ^{2} - 4} d x

y^{^{''}} = 3 y

y = 0, y = x^{2} - x

\int \frac{sec ( x ) + cos ( x )}{2 cos ( x )} d x

\int \frac{5}{x - 4} d x

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