What is the limit as x approaches 2 of (x+1)/(3x-6) ?

The limit as x approaches 2 of (x+1)/(3x-6) is diverges

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limit as x approaches 2 of (x+1)/(3x-6)

x \to 2 lim (\frac{x + 1}{3 x - 6})

diverges

Solution steps

x \to 2 lim (\frac{x + 1}{3 x - 6})

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

then the limit does not exist

x \to 2 + lim (\frac{x + 1}{3 x - 6}) = \infty

x \to 2 - lim (\frac{x + 1}{3 x - 6}) = - \infty

= diverges

x \to 1^{- 1} lim (2 - x)

x \to 1 - lim (\frac{1 - x}{x - 1})

x \to 2 lim (lo g_{3} (x))

x \to 5 - lim (g (x))

x \to 1 lim (x^{3} + 5 x - 2)

What is the limit as x approaches 2 of (x+1)/(3x-6) ?
The limit as x approaches 2 of (x+1)/(3x-6) is diverges