What is the limit as x approaches-6-of (|x+6|)/(x+6) ?

The limit as x approaches-6-of (|x+6|)/(x+6) is -1

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limit as x approaches-6-of (|x+6|)/(x+6)

x \to - 6 - lim (\frac{∣ x + 6 ∣}{x + 6})

- 1

Solution steps

x \to - 6 - lim (\frac{∣ x + 6 ∣}{x + 6})

x + 6

is negative when

x \to - 6 -

. Therefore

∣ x + 6 ∣ = - x - 6

= x \to - 6 - lim (\frac{- x - 6}{x + 6})

\frac{- x - 6}{x + 6} = - 1

= x \to - 6 - lim (- 1)

x \to a lim c = c

= - 1

\int_{0}^{1} (x^{2} + 1) d x

\frac{\partial}{\partial x} (- 5 y^{4} sin (5 x))

\frac{d y}{d x} = \frac{3 x - 9}{2 x + 8}

x \to 0 lim (\frac{1 - e ^{- 2 x}}{x})

\frac{d y}{d x} = 2 + e^{- 2 x + y + 1}

What is the limit as x approaches-6-of (|x+6|)/(x+6) ?
The limit as x approaches-6-of (|x+6|)/(x+6) is -1