What is the limit as x approaches 3 of 7/((x-3)^3) ?

The limit as x approaches 3 of 7/((x-3)^3) is diverges

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limit as x approaches 3 of 7/((x-3)^3)

x \to 3 lim (\frac{7}{( x - 3 ) ^{3}})

diverges

Solution steps

x \to 3 lim (\frac{7}{( 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{7}{( x - 3 ) ^{3}}) = \infty

x \to 3 - lim (\frac{7}{( x - 3 ) ^{3}}) = - \infty

= diverges

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

x \to \infty lim (b \cdot e^{- x})

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

x \to \infty lim (6 ln (x))

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

What is the limit as x approaches 3 of 7/((x-3)^3) ?
The limit as x approaches 3 of 7/((x-3)^3) is diverges