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

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

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

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

- \infty

Solution steps

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

For

x

approaching

- 3

from the left

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

The denominator is a negative quantity approaching 0 from the left

= - \infty

x \to \frac{π}{3} lim (cot (x) + 2)

x \to 0 lim (x ln (4 x))

x \to 3 lim (x^{3} - 27)

b \to 0 lim (csc (b) - cot (b))

x \to 0 lim (\frac{cot ( 5 x )}{x})

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