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

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

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

x \to 0 lim (\frac{x}{∣ x ∣})

0

Solution steps

x \to 0 lim (\frac{x}{∣ 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}{∣ x ∣}) = 0

x \to 0 + lim (\frac{x}{∣ x ∣}) = 0

= 0

a \to 0 lim (a \cdot sin (x + \frac{π}{a}))

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

x \to 0 lim (arctan (2 x))

s \to 1 lim (\frac{s - 1}{∣ s - 1 ∣})

x \to 0 lim (2 x + 5)

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