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

f (x) = cos^{2} (2 - x^{2})

\int \frac{1}{a ^{2} + b ^{2} x ^{2}} d x

\int_{0}^{8} \frac{1}{1 + x} d x

\int 2 x y - 9 x^{2} d x

\int_{2}^{4} 10 + 4 x - 3 x^{3} d x

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