What is the limit as x approaches 2 of (x^3-3x^2+4)/(3x^3-18x^2+36x-24) ?

The limit as x approaches 2 of (x^3-3x^2+4)/(3x^3-18x^2+36x-24) is diverges

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limit as x approaches 2 of (x^3-3x^2+4)/(3x^3-18x^2+36x-24)

x \to 2 lim (\frac{x ^{3} - 3 x ^{2} + 4}{3 x ^{3} - 18 x ^{2} + 36 x - 24})

diverges

Solution steps

x \to 2 lim (\frac{x ^{3} - 3 x ^{2} + 4}{3 x ^{3} - 18 x ^{2} + 36 x - 24})

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

then the limit does not exist

x \to 2 + lim (\frac{x ^{3} - 3 x ^{2} + 4}{3 x ^{3} - 18 x ^{2} + 36 x - 24}) = \infty

x \to 2 - lim (\frac{x ^{3} - 3 x ^{2} + 4}{3 x ^{3} - 18 x ^{2} + 36 x - 24}) = - \infty

= diverges

What is the limit as x approaches 2 of (x^3-3x^2+4)/(3x^3-18x^2+36x-24) ?
The limit as x approaches 2 of (x^3-3x^2+4)/(3x^3-18x^2+36x-24) is diverges