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 negative when

x \to 8 -

. Therefore

∣ x - 8 ∣ = - x + 8

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

\frac{x - 8}{- x + 8} = - 1

= x \to 8 - lim (- 1)

x \to a lim c = c

= - 1

\frac{d}{d x} (2 (4 - 9 x)^{4})

(x y + y + y^{2}) d x + (x + 2 y) d y = 0

f (x) = x - 5, at x = 6

x = 7 y^{3}, x = 18 y^{2}

\int g e^{- c x} d x

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