What is the limit as x approaches 0 of 1/(x^2(x-7)) ?

The limit as x approaches 0 of 1/(x^2(x-7)) is -infinity

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limit as x approaches 0 of 1/(x^2(x-7))

x \to 0 lim (\frac{1}{x ^{2} ( x - 7 )})

- \infty

Solution steps

x \to 0 lim (\frac{1}{x ^{2} ( x - 7 )})

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 (\frac{1}{x ^{2} ( x - 7 )}) = - \infty

x \to 0 + lim (\frac{1}{x ^{2} ( x - 7 )}) = - \infty

= - \infty

\frac{d}{d x} (ln (y) + y^{2} + cos (x))

y^{^{''}} + 2 y^{^{'}} + y = sin (2 t)

\int_{- \infty}^{6} x e^{\frac{x}{2}} d x

y^{^{'}} = \frac{1}{1 + y}

x^{2} (1 - 3 x)

What is the limit as x approaches 0 of 1/(x^2(x-7)) ?
The limit as x approaches 0 of 1/(x^2(x-7)) is -infinity