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

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

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

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

1

Solution steps

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

Simplify

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

= x \to 1 lim (\frac{1}{x})

Plug in the value

x = 1

= \frac{1}{1}

Simplify

= 1

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

\int (cos (x) + 2 cos (2 x))^{2} d x

f (x) = 10 x sin (x), at x = \frac{π}{2}

\frac{\partial}{\partial x} (\frac{1}{4 - x ^{2}})

x \to 0 lim (\frac{x ^{2}}{x ^{4}})

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