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

The limit as x approaches-7 of 1/(x^2(x+7)) is diverges

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

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

diverges

Solution steps

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

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

then the limit does not exist

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

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

= diverges

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