What is the limit as x approaches 1-of (-3(x^2-1))/(2x^2+2x-4) ?

The limit as x approaches 1-of (-3(x^2-1))/(2x^2+2x-4) is -1

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limit as x approaches 1-of (-3(x^2-1))/(2x^2+2x-4)

x \to 1 - lim (\frac{- 3 ( x ^{2} - 1 )}{2 x ^{2} + 2 x - 4})

- 1

Solution steps

x \to 1 - lim (\frac{- 3 ( x ^{2} - 1 )}{2 x ^{2} + 2 x - 4})

Simplify

\frac{- 3 ( x ^{2} - 1 )}{2 x ^{2} + 2 x - 4} : - \frac{3 ( x + 1 )}{2 ( x + 2 )}

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

Plug in the value

x = 1

= - \frac{3 ( 1 + 1 )}{2 ( 1 + 2 )}

Simplify

- \frac{3 ( 1 + 1 )}{2 ( 1 + 2 )} : - 1

= - 1

What is the limit as x approaches 1-of (-3(x^2-1))/(2x^2+2x-4) ?
The limit as x approaches 1-of (-3(x^2-1))/(2x^2+2x-4) is -1