What is the limit as x approaches 0 of x^{-2}(x-3)^3 ?

The limit as x approaches 0 of x^{-2}(x-3)^3 is -infinity

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limit as x approaches 0 of x^{-2}(x-3)^3

x \to 0 lim (x^{- 2} (x - 3)^{3})

- \infty

Solution steps

x \to 0 lim (x^{- 2} (x - 3)^{3})

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

then

x \to a lim f (x) = L

x \to 0 - lim (x^{- 2} (x - 3)^{3}) = - \infty

x \to 0 + lim (x^{- 2} (x - 3)^{3}) = - \infty

= - \infty

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

t \to 0 + lim (ln (t))

x \to 3 lim (\frac{4 x - 4}{x - 3})

x \to 0 - lim (\frac{1}{x} + 1)

x \to 0 lim (7 x csc (8 x))

What is the limit as x approaches 0 of x^{-2}(x-3)^3 ?
The limit as x approaches 0 of x^{-2}(x-3)^3 is -infinity