What is the limit as x approaches 4 of (-1)/(x-4) ?

The limit as x approaches 4 of (-1)/(x-4) is diverges

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limit as x approaches 4 of (-1)/(x-4)

x \to 4 lim (\frac{- 1}{x - 4})

diverges

Solution steps

x \to 4 lim (\frac{- 1}{x - 4})

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

then the limit does not exist

x \to 4 + lim (\frac{- 1}{x - 4}) = - \infty

x \to 4 - lim (\frac{- 1}{x - 4}) = \infty

= diverges

n \to \infty lim (\frac{( sin ( n ) )}{n})

x \to 0 + lim (x ln (\frac{1}{x}))

x \to 0 lim (\frac{sin ( a ) x}{x})

x \to 0 lim (x^{3} + \frac{cos ( 5 x )}{10000})

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

What is the limit as x approaches 4 of (-1)/(x-4) ?
The limit as x approaches 4 of (-1)/(x-4) is diverges