What is the limit as x approaches 2 of 5/((x-2)^3) ?

The limit as x approaches 2 of 5/((x-2)^3) is diverges

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limit as x approaches 2 of 5/((x-2)^3)

x \to 2 lim (\frac{5}{( x - 2 ) ^{3}})

diverges

Solution steps

x \to 2 lim (\frac{5}{( x - 2 ) ^{3}})

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

then the limit does not exist

x \to 2 + lim (\frac{5}{( x - 2 ) ^{3}}) = \infty

x \to 2 - lim (\frac{5}{( x - 2 ) ^{3}}) = - \infty

= diverges

x \to 0 lim (12 x cot (9 x))

x \to \infty lim (\frac{ln ( 1 + e ^{x} )}{12 x + 11})

x \to 1 lim (x^{2} + 6 x)

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

x \to 2 lim (3 x^{2} + 7 x)

What is the limit as x approaches 2 of 5/((x-2)^3) ?
The limit as x approaches 2 of 5/((x-2)^3) is diverges