What is the limit as x approaches 4-of ((x^2-6x+8))/(x^2-9x+20) ?

The limit as x approaches 4-of ((x^2-6x+8))/(x^2-9x+20) is -2

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limit as x approaches 4-of ((x^2-6x+8))/(x^2-9x+20)

x \to 4 - lim (\frac{( x ^{2} - 6 x + 8 )}{x ^{2} - 9 x + 20})

- 2

Solution steps

x \to 4 - lim (\frac{x ^{2} - 6 x + 8}{x ^{2} - 9 x + 20})

Simplify

\frac{x ^{2} - 6 x + 8}{x ^{2} - 9 x + 20} : \frac{x - 2}{x - 5}

= x \to 4 - lim (\frac{x - 2}{x - 5})

Plug in the value

x = 4

= \frac{4 - 2}{4 - 5}

Simplify

= - 2

x \to 0 + lim (∣ x ∣^{x})

x \to 1 lim (\frac{x ^{2}}{x + 1})

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

x \to \infty lim (\frac{20}{x})

x \to 2 lim (\frac{5 x - 2}{4 x + 1})

What is the limit as x approaches 4-of ((x^2-6x+8))/(x^2-9x+20) ?
The limit as x approaches 4-of ((x^2-6x+8))/(x^2-9x+20) is -2