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

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

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

x \to 0 lim (\frac{x ∣ x ∣}{x})

0

Solution steps

x \to 0 lim (\frac{x ∣ 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 ∣}{x}) = 0

x \to 0 + lim (\frac{x ∣ x ∣}{x}) = 0

= 0

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