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 left

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

The denominator is a positive quantity approaching 0 from the right

= \infty

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t \cdot e^{- 4 t} cos (5 t)

cot^{2} (x)

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