What is the limit as x approaches-2-of (|x+2|)/(x+2) ?

The limit as x approaches-2-of (|x+2|)/(x+2) is -1

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limit as x approaches-2-of (|x+2|)/(x+2)

x \to - 2 - lim (\frac{∣ x + 2 ∣}{x + 2})

- 1

Solution steps

x \to - 2 - lim (\frac{∣ x + 2 ∣}{x + 2})

x + 2

is negative when

x \to - 2 -

. Therefore

∣ x + 2 ∣ = - x - 2

= x \to - 2 - lim (\frac{- x - 2}{x + 2})

\frac{- x - 2}{x + 2} = - 1

= x \to - 2 - lim (- 1)

x \to a lim c = c

= - 1

x \to 1 lim (\frac{ln ( x )}{e ^{x}})

x \to \infty lim (3 x^{2} + x)

x \to - \infty lim (- 3 x^{4})

x \to - 2 + lim (\frac{x}{x + 2})

x \to 0 lim (\frac{x}{ln ( 5 x + 1 )})

What is the limit as x approaches-2-of (|x+2|)/(x+2) ?
The limit as x approaches-2-of (|x+2|)/(x+2) is -1