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

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

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

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

- \infty

Solution steps

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

x \to 0 - lim (x) = 0

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

= 0 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

v \to 2 lim (\frac{v - 2}{v ^{2} - 2})

y \to 3 lim (9 - y^{2})

x \to - 2 - lim (x - 1)

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

x \to 2 lim ((x - 4) (x - 8))

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