What is the limit as x approaches 0 of (x(x-1))/x ?

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

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limit as x approaches 0 of (x(x-1))/x

x \to 0 lim (\frac{x ( x - 1 )}{x})

- 1

Solution steps

x \to 0 lim (\frac{x ( x - 1 )}{x})

Cancel the common factor:

x

= x \to 0 lim (x - 1)

Plug in the value

x = 0

= 0 - 1

Simplify

= - 1

d er i v a t i v e \frac{u}{u ^{2} + 4}

l a pl a ce t r an s f or m e^{2 (t - 3)} (3 t^{4} + 2 t^{3} + t)

\frac{\partial}{\partial y} (cos (x - y) - x e^{y})

t an g e n t x^{2} + x y + 2 y^{2} = 16, (- 2, - 2)

\frac{\partial}{\partial x} ((5 x + 8 y)^{11})

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