What is the limit as x approaches 0 of (x^2)/(|x|) ?

The limit as x approaches 0 of (x^2)/(|x|) is 0

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limit as x approaches 0 of (x^2)/(|x|)

x \to 0 lim (\frac{x ^{2}}{∣ x ∣})

0

Solution steps

x \to 0 lim (\frac{x ^{2}}{∣ 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 ^{2}}{∣ x ∣}) = 0

x \to 0 + lim (\frac{x ^{2}}{∣ x ∣}) = 0

= 0

y^{^{'}} = t^{2} y^{2}

f (x) = 2 x^{3} - 6 x^{2}

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What is the limit as x approaches 0 of (x^2)/(|x|) ?
The limit as x approaches 0 of (x^2)/(|x|) is 0