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

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

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

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

- 2

Solution steps

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

Simplify

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

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

Plug in the value

x = 1

= - 1 - 1

Simplify

= - 2

\frac{1}{x - 1}, 20

f (x) = e^{7}

\int tan (x) \cdot sec^{3} (x) d x

\int e^{c o s (x)} sin (2 x) d x

\frac{d}{d x} (sinh^{3} (x) sin^{2} (x))

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