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

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

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

x \to 0 lim (\frac{2 x ^{2}}{∣ x ∣})

0

Solution steps

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

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

= 0

x \to \infty lim (e^{- 3 s i n (x)})

x \to \infty lim (\frac{3 x + 2 e ^{x}}{4 x - e ^{3 x}})

x \to 0 lim (e^{t a n (x)})

x \to 0 + lim (ln (5 s) in x)

x \to 0 lim (\frac{x}{arcsin ( x )})

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