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

The limit as x approaches-4 of (x^2+3x-4)/(x+4) is -5

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

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

- 5

Solution steps

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

Simplify

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

= x \to - 4 lim (x - 1)

Plug in the value

x = - 4

= - 4 - 1

Simplify

= - 5

- x^{2} + 1

(x^{3} - 4 x) (5 x^{2} + 2 x)

\frac{d}{d x} (e^{x^{4} + 7 x})

\frac{\partial}{\partial x} (7 + x ln (x y - 9))

\frac{d}{d x} ((x^{3} + 5 x^{2} - x^{- 2} + 8)^{- \frac{7}{6}})

What is the limit as x approaches-4 of (x^2+3x-4)/(x+4) ?
The limit as x approaches-4 of (x^2+3x-4)/(x+4) is -5