What is the limit as x approaches 0+of 6-1/(x^2) ?

The limit as x approaches 0+of 6-1/(x^2) is -infinity

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limit as x approaches 0+of 6-1/(x^2)

x \to 0 + lim (6 - \frac{1}{x ^{2}})

- \infty

Solution steps

x \to 0 + lim (6 - \frac{1}{x ^{2}})

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

x \to 0 + lim (6) = 6

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

= 6 - \infty

Apply Infinity Property:

c - \infty = - \infty

= - \infty

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What is the limit as x approaches 0+of 6-1/(x^2) ?
The limit as x approaches 0+of 6-1/(x^2) is -infinity