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

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

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

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

diverges

Solution steps

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

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

= diverges

2 y^{2} + 3 x y + (2 x y + x^{2}) y^{^{'}} = 0

\int x \cdot cos (x^{2}) d x

y^{^{''}} + 5 y^{^{'}} = 0, y (0) = 0

2 x + 5 x^{\frac{2}{5}}

\frac{d}{d t} (t + 8)

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