What is the limit as x approaches 8+of (x-8)/(|x-8|) ?

The limit as x approaches 8+of (x-8)/(|x-8|) is 1

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limit as x approaches 8+of (x-8)/(|x-8|)

x \to 8 + lim (\frac{x - 8}{∣ x - 8 ∣})

1

Solution steps

x \to 8 + lim (\frac{x - 8}{∣ x - 8 ∣})

x - 8

is positive when

x \to 8 +

. Therefore

∣ x - 8 ∣ = x - 8

= x \to 8 + lim (\frac{x - 8}{x - 8})

Simplify

= x \to 8 + lim (1)

x \to a lim c = c

= 1

y = 3 x^{2} - 2 x, at x = - 1

\frac{d}{d x} (x^{2} (x - 2)^{4})

\frac{\partial}{\partial x} (2 x + 3 y)

x \to \infty lim (\frac{3}{3})

\frac{d}{d x} (x^{l n (5)})

What is the limit as x approaches 8+of (x-8)/(|x-8|) ?
The limit as x approaches 8+of (x-8)/(|x-8|) is 1