What is the limit as x approaches 0 of (x+1)/(|x|) ?

The limit as x approaches 0 of (x+1)/(|x|) is infinity

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limit as x approaches 0 of (x+1)/(|x|)

x \to 0 lim (\frac{x + 1}{∣ x ∣})

\infty

Solution steps

x \to 0 lim (\frac{x + 1}{∣ x ∣})

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

then

x \to a lim f (x) = L

x \to 0 - lim (\frac{x + 1}{∣ x ∣}) = \infty

x \to 0 + lim (\frac{x + 1}{∣ x ∣}) = \infty

= \infty

x \to 0 lim (ln (- x))

\int e^{\frac{y}{x}} d y

x e^{- 3 x} sin (5 x)

x \to \infty lim (arctan (\frac{x + 1}{x + 2}))

\frac{\partial}{\partial x} (2 x^{2} + 3 y^{2})

What is the limit as x approaches 0 of (x+1)/(|x|) ?
The limit as x approaches 0 of (x+1)/(|x|) is infinity