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

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

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

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

- 2

Solution steps

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

Plug in the value

x = - 1

= \frac{( - 1 ) ^{2} - ( - 1 )}{- 1}

Simplify

\frac{( - 1 ) ^{2} - ( - 1 )}{- 1} : - 2

= - 2

\int_{2}^{\infty} \frac{1}{x ^{2} - 1} d x

\frac{d y}{d x} + y = y^{2}, y (0) = 2

\int \frac{y}{4} d y

\frac{d}{d x} (\frac{( x )}{7 + x})

(2 x y + 3 x^{2}) d x + (x^{2} - 1) d y = 0

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