What is the limit as x approaches 0-of 9+2/x ?

The limit as x approaches 0-of 9+2/x is -infinity

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limit as x approaches 0-of 9+2/x

x \to 0 - lim (9 + \frac{2}{x})

- \infty

Solution steps

x \to 0 - lim (9 + \frac{2}{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 (9) + x \to 0 - lim (\frac{2}{x})

x \to 0 - lim (9) = 9

x \to 0 - lim (\frac{2}{x}) = - \infty

= 9 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

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What is the limit as x approaches 0-of 9+2/x ?
The limit as x approaches 0-of 9+2/x is -infinity