What is the limit as x approaches-1 of (x^2-3)/(1-x) ?

The limit as x approaches-1 of (x^2-3)/(1-x) is -1

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limit as x approaches-1 of (x^2-3)/(1-x)

x \to - 1 lim (\frac{x ^{2} - 3}{1 - x})

- 1

Solution steps

x \to - 1 lim (\frac{x ^{2} - 3}{1 - x})

Plug in the value

x = - 1

= \frac{( - 1 ) ^{2} - 3}{1 - ( - 1 )}

Simplify

\frac{( - 1 ) ^{2} - 3}{1 - ( - 1 )} : - 1

= - 1

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

\int \frac{7}{( t ^{2} + 1 ) ^{\frac{3}{2}}} d t

\frac{4}{3 x ^{2}}

f (x) = x^{2} - \frac{1}{x}, (- 1, 0)

\int_{0}^{2} \frac{x + 2}{x - 4} d x

What is the limit as x approaches-1 of (x^2-3)/(1-x) ?
The limit as x approaches-1 of (x^2-3)/(1-x) is -1