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 0 lim (\frac{6 ^{x} - 6 ^{- x}}{x})

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

x \to \frac{π}{6} lim (2 sin (x))

x \to 2 lim (3 x^{3} + 7 x - 16)

x \to \infty lim (\frac{2}{3} x)

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