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

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

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

x \to 0 lim (\frac{1}{∣ x ∣})

\infty

Solution steps

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

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

= \infty

- 2 x^{2} + 8, 3 x + 1, x = 2, x = 0

f (x) = 2 x e^{x} + e^{x} x^{2}

x \to 0 lim (x^{\frac{1}{3}})

\frac{d Q}{d t} = - k Q, t = 0

\int \frac{1}{x ^{\frac{3}{4}}} + 5.5 x d x

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