What is the limit as y approaches-2 of (y^3-8)/(2y^2-7y+12) ?

The limit as y approaches-2 of (y^3-8)/(2y^2-7y+12) is -8/17

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limit as y approaches-2 of (y^3-8)/(2y^2-7y+12)

y \to - 2 lim (\frac{y ^{3} - 8}{2 y ^{2} - 7 y + 12})

- \frac{8}{17}

Decimal

- 0.47058 \dots

Solution steps

y \to - 2 lim (\frac{y ^{3} - 8}{2 y ^{2} - 7 y + 12})

Plug in the value

y = - 2

= \frac{( - 2 ) ^{3} - 8}{2 ( - 2 ) ^{2} - 7 ( - 2 ) + 12}

Simplify

\frac{( - 2 ) ^{3} - 8}{2 ( - 2 ) ^{2} - 7 ( - 2 ) + 12} : - \frac{8}{17}

= - \frac{8}{17}

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

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

x \to - \infty lim (\frac{8}{x})

x \to 3 + lim (\frac{x}{9 - x ^{2}})

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

What is the limit as y approaches-2 of (y^3-8)/(2y^2-7y+12) ?
The limit as y approaches-2 of (y^3-8)/(2y^2-7y+12) is -8/17