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

x \to 6 lim (14 x^{2} - 3 x + 30)

x \to \frac{π}{3} + lim (\frac{1 - cos ( 3 x )}{sin ( 3 x )})

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

x \to 0 - lim (2 x + 2)

n \to \infty lim (e^{x n})

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