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

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

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

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

0

Solution steps

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

Plug in the value

x = 0

= 0 \cdot (0 - 1)

Simplify

= 0

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