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

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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