What is the limit as x approaches 9 of 4/(x-9) ?

The limit as x approaches 9 of 4/(x-9) is diverges

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limit as x approaches 9 of 4/(x-9)

x \to 9 lim (\frac{4}{x - 9})

diverges

Solution steps

x \to 9 lim (\frac{4}{x - 9})

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

then the limit does not exist

x \to 9 + lim (\frac{4}{x - 9}) = \infty

x \to 9 - lim (\frac{4}{x - 9}) = - \infty

= diverges

\int_{0}^{2} \frac{5 x - 15}{2 x - 3} d x

y = x^{2} arctan (5 x)

x \cdot sin (x)

\frac{d y}{d x} = k x

\int \frac{18 x ^{3} - 36 x ^{2} + 4}{x ^{2} - 2 x} d x

What is the limit as x approaches 9 of 4/(x-9) ?
The limit as x approaches 9 of 4/(x-9) is diverges