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

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

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

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

2

Solution steps

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

Simplify

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

= x \to - 1 lim (- x + 1)

Plug in the value

x = - 1

= - (- 1) + 1

Simplify

= 2

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