What is the limit as x approaches 0+of 1/(tan(x)) ?

The limit as x approaches 0+of 1/(tan(x)) is infinity

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limit as x approaches 0+of 1/(tan(x))

x \to 0 + lim (\frac{1}{tan ( x )})

\infty

Solution steps

x \to 0 + lim (\frac{1}{tan ( x )})

For

x

approaching

0

from the right

, x > 0 \Rightarrow tan (x) > 0

The denominator is a positive quantity approaching 0 from the right

= \infty

x \to 4 - lim (x - 2)

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

x \to \infty lim (\frac{1}{x} \cdot x)

x \to 0 lim (\frac{( cos ( x ) - cos ( 3 x ) )}{x ^{2}})

x \to 1 + lim (ln (x) \cdot ln (x - 1))

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