What is the limit as x approaches 8 of ((x^2-5x-24))/(x-8) ?

The limit as x approaches 8 of ((x^2-5x-24))/(x-8) is 11

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limit as x approaches 8 of ((x^2-5x-24))/(x-8)

x \to 8 lim (\frac{( x ^{2} - 5 x - 24 )}{x - 8})

11

Solution steps

x \to 8 lim (\frac{x ^{2} - 5 x - 24}{x - 8})

Simplify

\frac{x ^{2} - 5 x - 24}{x - 8} : x + 3

= x \to 8 lim (x + 3)

Plug in the value

x = 8

= 8 + 3

Simplify

= 11

\int (x + a)^{2} d x

7 + cot (x) - 2 csc (x)

\frac{d y}{d x} = - 3 - 2 x - y

\int \frac{1}{- x ^{2} + 8 x - 12} d x

\frac{d}{d x} (- \frac{I n ( x ^{3} )}{x})

What is the limit as x approaches 8 of ((x^2-5x-24))/(x-8) ?
The limit as x approaches 8 of ((x^2-5x-24))/(x-8) is 11