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

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

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

x \to - 1 lim (\frac{x + 1}{∣ x + 1 ∣})

diverges

Solution steps

x \to - 1 lim (\frac{x + 1}{∣ x + 1 ∣})

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

then the limit does not exist

x \to - 1 + lim (\frac{x + 1}{∣ x + 1 ∣}) = 1

x \to - 1 - lim (\frac{x + 1}{∣ x + 1 ∣}) = - 1

= diverges

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