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

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

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

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

diverges

Solution steps

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

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

= diverges

3 t sin (3 t)

\frac{d ^{2} y}{d x ^{2}} + x \frac{d y}{d x} = 0

y^{^{'}} = (x - 4) e^{- 2 y}, y (4) = ln (4)

\frac{d}{d x} (2 x^{- \frac{14}{5}})

x \to 3 lim (\frac{6 x}{x ^{2} - 9})

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