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}})

x \to a lim [c \cdot f (x)] = c \cdot x \to a lim f (x)

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

For

x

approaching

0

from the left

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

The denominator is a positive quantity approaching 0 from the right

= - \infty

\frac{d}{d x} ((x + 6) 2)

\int_{0}^{3} \frac{1}{x ^{2}} d x

f (x) = ln (x + 1)

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

\frac{d}{d x} (\frac{1}{( x + 2 )})

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