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

x \frac{d y}{d x} = 8 y

\frac{d}{d x} (- \frac{1}{2 x})

\int \frac{5 - 4 x}{12 x - 4 x ^{2} - 8} d x

5 (ln (y)) y^{^{'}} - x^{7} y = 0

\int \frac{- 1}{1 + 9 x ^{2}} d x

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