What is the limit as x approaches 5 of 2/((x-5)^3) ?

The limit as x approaches 5 of 2/((x-5)^3) is diverges

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limit as x approaches 5 of 2/((x-5)^3)

x \to 5 lim (\frac{2}{( x - 5 ) ^{3}})

diverges

Solution steps

x \to 5 lim (\frac{2}{( 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{2}{( x - 5 ) ^{3}}) = \infty

x \to 5 - lim (\frac{2}{( x - 5 ) ^{3}}) = - \infty

= diverges

\frac{d}{d x} (2 - 4 x)

\int \frac{1}{4 x ^{2} + 2} d x

y^{^{''}} + 6 y^{^{'}} + 25 y = 0, y (0) = 2, y^{^{'}} (0) = - 10

\frac{d}{d x} (\frac{6 x}{1 + 3 x ^{2}})

x \to 0 lim (\frac{1}{x} ln (1 + x))

What is the limit as x approaches 5 of 2/((x-5)^3) ?
The limit as x approaches 5 of 2/((x-5)^3) is diverges