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

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

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

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

- 1

Solution steps

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

5 - x

is negative when

x \to 5 +

. Therefore

∣ 5 - x ∣ = - 5 + x

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

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

= x \to 5 + lim (- 1)

x \to a lim c = c

= - 1

y^{^{''}} + 9 y = - 30 sin (3 t)

\frac{d}{d x} (ln (sec (x) - tan (x)))

\frac{\partial}{\partial x} (x e^{(x y)})

x \to 0 lim ((1 + \frac{2}{x})^{x})

\frac{d}{d x} (\frac{2 - x}{x})

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