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

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

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limit as x approaches 2 of 1/(2(x-2))

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

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