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

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

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

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

\frac{1}{2}

Decimal

0.5

Solution steps

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

Plug in the value

x = - 1

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

Simplify

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

= \frac{1}{2}

x \to 0 lim ((cos (x))^{x})

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

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

h \to 0 lim (\frac{ln ( 1 + h ) - 0}{h})

x \to 0 lim (5 x^{2} + 4 x + 8)

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