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 1

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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})

1

Solution steps

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

Plug in the value

x = - 1

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

Simplify

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

= 1

t \to 0 lim (\frac{2 sin ( t )}{t})

x \to 4 + lim (e^{\frac{2}{x}})

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

x \to 0 lim (\frac{1}{1 - e ^{0}})

x \to 2 lim (3 x + 6)

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 1