What is the limit as x approaches 3 of 1/(3x^2-27) ?

The limit as x approaches 3 of 1/(3x^2-27) is diverges

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limit as x approaches 3 of 1/(3x^2-27)

x \to 3 lim (\frac{1}{3 x ^{2} - 27})

diverges

Solution steps

x \to 3 lim (\frac{1}{3 x ^{2} - 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{1}{3 x ^{2} - 27}) = \infty

x \to 3 - lim (\frac{1}{3 x ^{2} - 27}) = - \infty

= diverges

\frac{\partial}{\partial x} (3 sin^{2} (x) cos (x))

\int y sin (x) d x

\int sec (x) (tan (x) + sec (x)) d x

\int \frac{1}{1 + e ^{2 x}} d x

y^{^{'}} = a y + b e^{- b}

What is the limit as x approaches 3 of 1/(3x^2-27) ?
The limit as x approaches 3 of 1/(3x^2-27) is diverges