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

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

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

x \to 1 lim (x^{2} - x)

0

Solution steps

x \to 1 lim (x^{2} - x)

Plug in the value

x = 1

= 1^{2} - 1

Simplify

= 0

\frac{s ^{2} - 8 s + 15}{s ^{2} + 3 s + 2}

\frac{d}{d x} (\frac{x ^{2}}{4} + y^{2} - 1)

x y^{^{'}} - 2 y = 11 x^{2}

\frac{d y}{d x} = \frac{- y}{x + y}

\frac{d}{d x} (- \frac{3}{2} x)

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