What is the limit as x approaches 0-of (11)/(tan(x)) ?

The limit as x approaches 0-of (11)/(tan(x)) is -infinity

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limit as x approaches 0-of (11)/(tan(x))

x \to 0 - lim (\frac{11}{tan ( x )})

- \infty

Solution steps

x \to 0 - lim (\frac{11}{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

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What is the limit as x approaches 0-of (11)/(tan(x)) ?
The limit as x approaches 0-of (11)/(tan(x)) is -infinity