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

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

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

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

- \infty

Solution steps

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

For

x

approaching

0

from the right

, x > 0 \Rightarrow x^{2} > 0

The denominator is a positive quantity approaching 0 from the right

= - \infty

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

x \to 5 - lim (\frac{2 x}{x - 5})

x \to 5 + lim (\frac{4}{x ^{2} - 25})

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

x \to - 3 lim (2 x + 8)

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