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

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

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

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

diverges

Solution steps

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

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

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

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

= diverges

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