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

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

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

x \to - 1 lim (\frac{x}{∣ x + 1 ∣})

- \infty

Solution steps

x \to - 1 lim (\frac{x}{∣ x + 1 ∣})

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

then

x \to a lim f (x) = L

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

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

= - \infty

x \to - 2 - lim (h (x))

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

x \to 3 lim (x^{3} + 5 x^{2} - 8)

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

t \to 0 lim (csc (t) - cot (t))

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