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

\frac{d}{d x} (50 x - 0.5 x^{2})

x \to - 5 - lim (\frac{3 x + 8}{x + 5})

\frac{d}{d x} (\frac{cos ( x )}{sin ( x )})

x \to \infty lim (x - x^{2})

x \to 3 lim (sin (x - 1))

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