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

The limit as x approaches 6 of (3x)/(x^2-6x) is diverges

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limit as x approaches 6 of (3x)/(x^2-6x)

x \to 6 lim (\frac{3 x}{x ^{2} - 6 x})

diverges

Solution steps

x \to 6 lim (\frac{3 x}{x ^{2} - 6 x})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 6 + lim (\frac{3 x}{x ^{2} - 6 x}) = \infty

x \to 6 - lim (\frac{3 x}{x ^{2} - 6 x}) = - \infty

= diverges

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