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 ∣})

Plug in the value

x = 1

= \frac{1 + 1}{∣ 1 + 1 ∣}

Simplify

\frac{1 + 1}{∣ 1 + 1 ∣} : 1

= 1

x \to - \frac{π}{2} - lim (cos (x))

x \to 0 lim (4 - 8 x + 5 x^{2})

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

x \to 1 lim (ln (x^{x - 1}))

y \to 2 lim (\frac{5 y}{4 - y ^{2}})

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