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

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