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

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

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limit as x approaches 0-of x^5+1/x

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

- \infty

Solution steps

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

x \to a lim [f (x) \pm g (x)] = x \to a lim f (x) \pm x \to a lim g (x)

With the exception of indeterminate form

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

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

x \to 0 - lim (\frac{1}{x}) = - \infty

= 0 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

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

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

x \to 0 lim (\frac{x - 6}{x ^{2}})

x \to - \infty lim (2 + 5 e^{x})

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

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