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

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