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

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

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

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

diverges

Solution steps

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

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 - 6}) = \infty

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

= diverges

\frac{d}{d x} (\frac{( x ^{5} - 5 )}{( x + 1 )})

\frac{\partial}{\partial y} (x^{2} y + x y^{2})

\int x (5 x^{2} + 4)^{3} d x

(1, 2.5), (4, 1)

\int 3 x^{3} - 12 x d x

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