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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to 0 lim (\frac{- sin ( 5 x )}{x})

x \to \infty lim (\frac{3}{4 x})

x \to 0 + lim (\frac{x ^{2}}{e ^{x} - 1})

x \to π lim (cos (x + cos (x)))

x \to 0 lim (\frac{1 - cos ( 8 x )}{1 - cos ( 3 x )})

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