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

\frac{\partial}{\partial y} (ln (x) y)

\int y - \frac{1}{y ^{2}} d y

2 t^{4}

\frac{d}{d x} (ln ((x e^{- 2 x})^{\frac{1}{3}}))

y = g (3 x) h (2 x)

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