What is the limit as x approaches 3 of 2/(x-3) ?

The limit as x approaches 3 of 2/(x-3) is diverges

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limit as x approaches 3 of 2/(x-3)

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

diverges

Solution steps

x \to 3 lim (\frac{2}{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{2}{x - 3}) = \infty

x \to 3 - lim (\frac{2}{x - 3}) = - \infty

= diverges

\frac{d}{d x} (3 csc (x) cos^{3} (x))

t an g e n t y = \frac{1}{1 + x ^{2}}, (- 1, \frac{1}{2})

in v erse l a pl a ce \frac{2}{sin ^{2} ( + 2 )}

t a y l or f (x) = x

x \to 0 lim (cos (π x))

What is the limit as x approaches 3 of 2/(x-3) ?
The limit as x approaches 3 of 2/(x-3) is diverges