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

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

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limit as x approaches 3 of x/(ln(x-2))

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

x \to \infty lim (\frac{- 9}{x})

x \to 0 lim (2 arctan (x))

x \to 0 + lim (\frac{( x cos ( x ) )}{2 x})

x \to 0 lim (3 \frac{x}{cos ( x )})

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

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