What is the limit as x approaches 0+of cot(3x) ?

The limit as x approaches 0+of cot(3x) is infinity

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limit as x approaches 0+of cot(3x)

x \to 0 + lim (cot (3 x))

\infty

Solution steps

x \to 0 + lim (cot (3 x))

Apply the Limit Chain Rule:

\infty

= \infty

\frac{\partial}{\partial y} (3 x y^{2})

\frac{d}{d x} (\frac{tan ( 3 x )}{x ^{2}})

\frac{\partial}{\partial y} (5 y)

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

\int_{2}^{3} \frac{39}{3 - x} d x

What is the limit as x approaches 0+of cot(3x) ?
The limit as x approaches 0+of cot(3x) is infinity