What is the limit as x approaches-2 of (5x^2+6x-8)/(x+2) ?

The limit as x approaches-2 of (5x^2+6x-8)/(x+2) is -14

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limit as x approaches-2 of (5x^2+6x-8)/(x+2)

x \to - 2 lim (\frac{5 x ^{2} + 6 x - 8}{x + 2})

- 14

Solution steps

x \to - 2 lim (\frac{5 x ^{2} + 6 x - 8}{x + 2})

Simplify

\frac{5 x ^{2} + 6 x - 8}{x + 2} : 5 x - 4

= x \to - 2 lim (5 x - 4)

Plug in the value

x = - 2

= 5 (- 2) - 4

Simplify

= - 14

\frac{d}{d x} ((x^{2} - 9)^{2})

\frac{\partial}{\partial x} (\frac{- 5 x - y}{y ^{2} + x ^{2}})

\frac{8}{s ^{4}}

x y + y^{^{'}} = 2 x

f^{^{'}} (x) = \frac{x ^{2} + 3}{cos ( x )}

What is the limit as x approaches-2 of (5x^2+6x-8)/(x+2) ?
The limit as x approaches-2 of (5x^2+6x-8)/(x+2) is -14