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

The limit as x approaches+5-of 5/((x-5)^3) is -infinity

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

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

- \infty

Solution steps

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

For

x

approaching

5

from the left

, x < 5 \Rightarrow (x - 5)^{3} < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

\int \frac{( 3 x + 5 ) ^{3}}{10} d x

\frac{d}{d u} (u^{3} - 5 u^{2} + \frac{7}{3 u ^{2}} + 6)

\frac{\partial}{\partial x} (10990 + 1120 x + 873 y)

5 x + 1

\int \frac{4 + 3 x}{1 + x ^{2}} d x

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