What is the limit as x approaches-5 of ((x^2+6x+5))/(x^2+4x-5) ?

The limit as x approaches-5 of ((x^2+6x+5))/(x^2+4x-5) is 2/3

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limit as x approaches-5 of ((x^2+6x+5))/(x^2+4x-5)

x \to - 5 lim (\frac{( x ^{2} + 6 x + 5 )}{x ^{2} + 4 x - 5})

\frac{2}{3}

Decimal Notation

0.66666 \dots

Solution steps

x \to - 5 lim (\frac{x ^{2} + 6 x + 5}{x ^{2} + 4 x - 5})

Simplify

\frac{x ^{2} + 6 x + 5}{x ^{2} + 4 x - 5} : \frac{x + 1}{x - 1}

= x \to - 5 lim (\frac{x + 1}{x - 1})

Plug in the value

x = - 5

= \frac{- 5 + 1}{- 5 - 1}

Simplify

\frac{- 5 + 1}{- 5 - 1} : \frac{2}{3}

= \frac{2}{3}

y^{^{'}} = 3 y + 2

\int y (x + y) d y

\int \frac{1}{( 121 - x ^{2} ) ^{\frac{3}{2}}} d x

x \to 0 + lim (x^{\frac{8}{x}})

x^{2} sin (8 x)

What is the limit as x approaches-5 of ((x^2+6x+5))/(x^2+4x-5) ?
The limit as x approaches-5 of ((x^2+6x+5))/(x^2+4x-5) is 2/3