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

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

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

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

1

Solution steps

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

x - 4

is positive when

x \to 4 +

. Therefore

∣ x - 4 ∣ = x - 4

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

Simplify

= x \to 4 + lim (1)

x \to a lim c = c

= 1

\frac{d}{d x} ((a x + b)^{5})

y = \frac{3}{ln ( x )}

3 \frac{d ^{2} y}{d x ^{2}} + 18 \frac{d y}{d x} + 24 y = 6 sin (2 x)

\int 12 e^{6 x} d x

\frac{1}{3 + 2 x}

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