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

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

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limit as x approaches 3 of (-1)/(x-3)

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

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

x \to π lim (5 cot (x))

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

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

y \to 0 lim (\frac{6}{y ^{2} + y} - \frac{6}{y})

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