What is the limit as x approaches 0 of 5/(tan(3x)) ?

The limit as x approaches 0 of 5/(tan(3x)) is diverges

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limit as x approaches 0 of 5/(tan(3x))

x \to 0 lim (\frac{5}{tan ( 3 x )})

diverges

Solution steps

x \to 0 lim (\frac{5}{tan ( 3 x )})

x \to a - lim f (x) \neq = x \to a + lim f (x)

then the limit does not exist

x \to 0 + lim (\frac{5}{tan ( 3 x )}) = \infty

x \to 0 - lim (\frac{5}{tan ( 3 x )}) = - \infty

= diverges

8 \frac{d y}{d x} + 7 e^{x + y} = 0

y^{^{'}} = t y

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

\frac{d}{d x} (\frac{ln ( x ^{2} )}{x})

(t^{2} + 1) f^{^{'}} (t) + [f (t)]^{2} + 1 = 0

What is the limit as x approaches 0 of 5/(tan(3x)) ?
The limit as x approaches 0 of 5/(tan(3x)) is diverges