What is the limit as x approaches 0-of 1/(x^5) ?

The limit as x approaches 0-of 1/(x^5) is -infinity

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limit as x approaches 0-of 1/(x^5)

x \to 0 - lim (\frac{1}{x ^{5}})

- \infty

Solution steps

x \to 0 - lim (\frac{1}{x ^{5}})

For

x

approaching

0

from the left

, x < 0 \Rightarrow x^{5} < 0

The denominator is a negative quantity approaching 0 from the left

= - \infty

x \to 0 - lim (4 (\frac{1}{x} - cot (x)))

x \to - 43 lim (x^{2} - 4 x + 8)

x \to 2 lim (3 x^{2} + 2 x - 10)

x \to 1 lim (arctan (\frac{1}{x}))

x \to 0 lim ((1 + \frac{x}{3})^{2})

What is the limit as x approaches 0-of 1/(x^5) ?
The limit as x approaches 0-of 1/(x^5) is -infinity