What is the limit as x approaches-1 of (x^2-7)/(1-x) ?

The limit as x approaches-1 of (x^2-7)/(1-x) is -3

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limit as x approaches-1 of (x^2-7)/(1-x)

x \to - 1 lim (\frac{x ^{2} - 7}{1 - x})

- 3

Solution steps

x \to - 1 lim (\frac{x ^{2} - 7}{1 - x})

Plug in the value

x = - 1

= \frac{( - 1 ) ^{2} - 7}{1 - ( - 1 )}

Simplify

\frac{( - 1 ) ^{2} - 7}{1 - ( - 1 )} : - 3

= - 3

What is the limit as x approaches-1 of (x^2-7)/(1-x) ?
The limit as x approaches-1 of (x^2-7)/(1-x) is -3