What is the limit as x approaches 6 of (x^2-9x+18)/(x-6) ?

The limit as x approaches 6 of (x^2-9x+18)/(x-6) is 3

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limit as x approaches 6 of (x^2-9x+18)/(x-6)

x \to 6 lim (\frac{x ^{2} - 9 x + 18}{x - 6})

3

Solution steps

x \to 6 lim (\frac{x ^{2} - 9 x + 18}{x - 6})

Simplify

\frac{x ^{2} - 9 x + 18}{x - 6} : x - 3

= x \to 6 lim (x - 3)

Plug in the value

x = 6

= 6 - 3

Simplify

= 3

y = 6 x, y = \frac{3}{2} x, y = 7 - x^{2}

\frac{d}{d x} (2^{3^{4^{x}}})

\int e^{2 x^{2}} x d x

\int \frac{k x}{1 - x} d x

\int e^{x^{2} + y^{2}} d x

What is the limit as x approaches 6 of (x^2-9x+18)/(x-6) ?
The limit as x approaches 6 of (x^2-9x+18)/(x-6) is 3