What is the limit as x approaches-3-of (x+1)/(|x|) ?

The limit as x approaches-3-of (x+1)/(|x|) is -2/3

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limit as x approaches-3-of (x+1)/(|x|)

x \to - 3 - lim (\frac{x + 1}{∣ x ∣})

- \frac{2}{3}

Decimal

- 0.66666 \dots

Solution steps

x \to - 3 - lim (\frac{x + 1}{∣ x ∣})

Plug in the value

x = - 3

= \frac{- 3 + 1}{∣ ( - 3 ) ∣}

Simplify

\frac{- 3 + 1}{∣ - 3 ∣} : - \frac{2}{3}

= - \frac{2}{3}

x \to \infty lim (arccos (1 - 3^{- x}))

x \to π lim (cos (\frac{x}{2}))

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

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

x \to - 2 lim (- x^{4} + 8 x^{2})

What is the limit as x approaches-3-of (x+1)/(|x|) ?
The limit as x approaches-3-of (x+1)/(|x|) is -2/3