What is the limit as x approaches 3 of 5/(x(x^3-27)) ?

The limit as x approaches 3 of 5/(x(x^3-27)) is diverges

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limit as x approaches 3 of 5/(x(x^3-27))

x \to 3 lim (\frac{5}{x ( x ^{3} - 27 )})

diverges

Solution steps

x \to 3 lim (\frac{5}{x ( x ^{3} - 27 )})

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

then the limit does not exist

x \to 3 + lim (\frac{5}{x ( x ^{3} - 27 )}) = \infty

x \to 3 - lim (\frac{5}{x ( x ^{3} - 27 )}) = - \infty

= diverges

\int \frac{8 x}{x ^{3} + 1} d x

t an g e n t x sin (π x)

\int cos (3 x) e^{2 s i n (3 x)} d x

\frac{d y}{d x} = x x - 30

x \to 0 lim (5 sin (x) ln (x))

What is the limit as x approaches 3 of 5/(x(x^3-27)) ?
The limit as x approaches 3 of 5/(x(x^3-27)) is diverges