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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

x \to 1 lim (\frac{17 - x ^{2} - 4}{x - 1})

\frac{x ^{2}}{18 x - 9}

\frac{d}{d x} (\frac{4}{5} x^{15})

(10.9) (40.3)

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