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 -1

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

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

- 1

Solution steps

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

x + 1

is negative when

x \to - 1 -

. Therefore

∣ x + 1 ∣ = - x - 1

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

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

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

x \to a lim c = c

= - 1

\frac{d y}{d x}, x y = 45

\int_{0}^{4} 4 - x d x

f (x) = e^{x}, at x = 1

\frac{d y}{d x} y = 3^{x}

x \to \frac{1}{4} lim (8 x^{3})

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 -1