What is the limit as x approaches 2-of sqrt(x(x-1)) ?

The limit as x approaches 2-of sqrt(x(x-1)) is square root of 2

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limit as x approaches 2-of sqrt(x(x-1))

x \to 2 - lim (x (x - 1))

2

Decimal Notation

1.41421 \dots

Solution steps

x \to 2 - lim (x (x - 1))

Plug in the value

x = 2

= 2 (2 - 1)

Simplify

= 2

\int \frac{1}{25 - x} d x

n = 1 \sum \infty (2 x)^{n}

\frac{\partial}{\partial x} (y^{2} - 3 x^{3})

4 + t^{6}

f (x) = - 5 x

What is the limit as x approaches 2-of sqrt(x(x-1)) ?
The limit as x approaches 2-of sqrt(x(x-1)) is square root of 2