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

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

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

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

diverges

Solution steps

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

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}}{x - 2}) = \infty

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

= diverges

\int_{0}^{\frac{π}{4}} (tan^{2} (x)) d x

\frac{d}{d x} (5 x^{2} - 2 x + 1)

\frac{5}{( s - 3 ) ^{4}}

2 x^{3}, 18 x

x \to 8 lim (7 x + ∣ x - 8 ∣)

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