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

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

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

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

\frac{1}{2}

Solution steps

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

Simplify

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

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

Plug in the value

x = - 1

= - \frac{1}{- 1 - 1}

Simplify

= \frac{1}{2}

x \to 5 + lim (\frac{5}{x - 5})

\int cos (2 x) sin (3 x) d x

x^{\frac{1}{3}}, 8

\frac{d}{d x} (\frac{1}{x ^{2} - 2})

\frac{d}{d x} (x^{2} + \frac{128000}{x})

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