What is the limit as x approaches 5 of 1/((x-5)^3) ?

The limit as x approaches 5 of 1/((x-5)^3) is diverges

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limit as x approaches 5 of 1/((x-5)^3)

x \to 5 lim (\frac{1}{( x - 5 ) ^{3}})

diverges

Solution steps

x \to 5 lim (\frac{1}{( x - 5 ) ^{3}})

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

then the limit does not exist

x \to 5 + lim (\frac{1}{( x - 5 ) ^{3}}) = \infty

x \to 5 - lim (\frac{1}{( x - 5 ) ^{3}}) = - \infty

= diverges

\frac{\partial}{\partial x} (\frac{e ^{x}}{y + x ^{8}})

\frac{d}{d x} (\frac{x + y}{x y})

y^{^{'}} = 1 - \frac{y}{20}

7 x^{2} y^{^{'}} = y^{^{'}} + 9 x e - y

\int_{1}^{\infty} \frac{1}{x ^{2} + x} d x

What is the limit as x approaches 5 of 1/((x-5)^3) ?
The limit as x approaches 5 of 1/((x-5)^3) is diverges