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

\int \frac{arctan ^{5} ( x )}{1 + x ^{2}} d x

\frac{d y}{d x}, 9 x = y^{2}

x \to 0 + lim ((1 + 4 x)^{\frac{3}{x}})

\int_{0}^{5} - x^{2} + 5 x d x

\frac{d y}{d x} = y + 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