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

is positive when

x \to 4

. Therefore

∣ x ∣ = x

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

Simplify

= x \to 4 lim (1)

x \to a lim c = c

= 1

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

f (x) = cos (arctan (x))

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

\frac{s - 2}{s + 4}

n = 1 \sum \infty 2 (\frac{3}{4})^{n}

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