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

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

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

x \to - 4 lim (\frac{x ^{2} + 5 x + 4}{x ^{2} + 3 x - 4})

\frac{3}{5}

Decimal

0.6

Solution steps

x \to - 4 lim (\frac{x ^{2} + 5 x + 4}{x ^{2} + 3 x - 4})

Simplify

\frac{x ^{2} + 5 x + 4}{x ^{2} + 3 x - 4} : \frac{x + 1}{x - 1}

= x \to - 4 lim (\frac{x + 1}{x - 1})

Plug in the value

x = - 4

= \frac{- 4 + 1}{- 4 - 1}

Simplify

= \frac{3}{5}

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