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

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

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

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

\infty

Solution steps

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

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

= \infty

\frac{d}{d x} (e^{x} \cdot sin (2 x))

\frac{d}{d x} (8 x - x^{2})

\int 6 cos (6 x) - 5 d x

\frac{\partial}{\partial x} (x - 1)

\frac{7}{1 + x}

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