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

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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