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

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

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

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

2

Solution steps

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

Simplify

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

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

Plug in the value

x = - 1

= - (- 1) + 1

Simplify

= 2

x \to 3 lim (2 x - 6)

x \to 2 lim (\frac{3 x - 6}{x - 2})

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

x \to 0 lim ((3^{x} + x)^{\frac{1}{x}})

n \to \infty lim (tan (nπ))

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