What is the limit as x approaches 4+of (|4-x|)/(4-x) ?

The limit as x approaches 4+of (|4-x|)/(4-x) is -1

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limit as x approaches 4+of (|4-x|)/(4-x)

x \to 4 + lim (\frac{∣ 4 - x ∣}{4 - x})

- 1

Solution steps

x \to 4 + lim (\frac{∣ 4 - x ∣}{4 - x})

4 - x

is negative when

x \to 4 +

. Therefore

∣ 4 - x ∣ = - 4 + x

= x \to 4 + lim (\frac{- 4 + x}{4 - x})

\frac{- 4 + x}{4 - x} = - 1

= x \to 4 + lim (- 1)

x \to a lim c = c

= - 1

\frac{d}{d x} (256 sin (8 x))

n = 1 \sum \infty \frac{5}{3 ^{n}}

\frac{( e ^{x} + 1 ) d y}{d x} = y - y e^{x}

y = \frac{400}{x} + 7 + \frac{1}{5} x

x \to 4 lim (2 x - 6)

What is the limit as x approaches 4+of (|4-x|)/(4-x) ?
The limit as x approaches 4+of (|4-x|)/(4-x) is -1