What is the limit as x approaches-2-of 1/((x+2)^5) ?

The limit as x approaches-2-of 1/((x+2)^5) is -infinity

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limit as x approaches-2-of 1/((x+2)^5)

x \to - 2 - lim (\frac{1}{( x + 2 ) ^{5}})

- \infty

Solution steps

x \to - 2 - lim (\frac{1}{( x + 2 ) ^{5}})

For

x

approaching

- 2

from the left

, x < - 2 \Rightarrow (x + 2)^{5} < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

What is the limit as x approaches-2-of 1/((x+2)^5) ?
The limit as x approaches-2-of 1/((x+2)^5) is -infinity