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

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

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

x \to 5 - lim (\frac{[ x ] - x}{x - 5})

t \to 1 lim (2 t i - 3 j + e^{t} k)

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

x \to 2 lim (3 x^{2} + 2)

x \to \frac{2}{3} lim (\frac{2 x ^{2} - 15 x + 18}{3 x ^{2} - 17 x - 6})

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