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

The limit as x approaches 0-of (x^2-x)/(|x|) is 1

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

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

1

Solution steps

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

x

is negative when

x \to 0 -

. Therefore

∣ x ∣ = - x

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

Simplify

\frac{x ^{2} - x}{- x} : - x + 1

= x \to 0 - lim (- x + 1)

Plug in the value

x = 0

= - 0 + 1

Simplify

= 1

t \to 0 lim (3)

y = \frac{3 x ^{4} + 7}{x ^{2}}

\int_{1}^{3} x 2^{x^{2}} d x

x^{2} d y + y d x = d x

\int x e^{6 x^{2}} d x

What is the limit as x approaches 0-of (x^2-x)/(|x|) ?
The limit as x approaches 0-of (x^2-x)/(|x|) is 1