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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

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