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

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

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

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

\infty

Solution steps

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

For

x

approaching

0

from the left

, x < 0 \Rightarrow tan^{2} (x) > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

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

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

n \to \infty lim (4)

x \to 2 lim (23 + 7)

x \to \frac{1}{2} lim (3 x - 1)

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