What is the limit as x approaches 0-of (18)/(tan(x)) ?

The limit as x approaches 0-of (18)/(tan(x)) is -infinity

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limit as x approaches 0-of (18)/(tan(x))

x \to 0 - lim (\frac{18}{tan ( x )})

- \infty

Solution steps

x \to 0 - lim (\frac{18}{tan ( x )})

For

x

approaching

0

from the left

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

The denominator is a negative quantity approaching 0 from the left

= - \infty

\frac{( x - 1 )}{x}

\frac{d}{d x} (3 x + 7)

\frac{\partial}{\partial x} (e^{x} sin (y) - 2 y sin (x))

- \frac{8}{x}

3 x^{2}

What is the limit as x approaches 0-of (18)/(tan(x)) ?
The limit as x approaches 0-of (18)/(tan(x)) is -infinity