What is the limit as x approaches 0 of cotan(x)-1/x ?

The limit as x approaches 0 of cotan(x)-1/x is diverges

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limit as x approaches 0 of cotan(x)-1/x

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

diverges

Solution steps

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

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

then the limit does not exist

x \to 0 + lim (co tan (x) - \frac{1}{x}) = - \infty

x \to 0 - lim (co tan (x) - \frac{1}{x}) = \infty

= diverges

G (t) = \frac{1 - 2 t}{3 + t}

(1.2) (3.5)

\frac{d}{d x} ((x + csc (x^{3} + 3))^{- 3})

y = \frac{e ^{x}}{8 x ^{4}}

n \to \infty lim (\frac{n ^{2}}{2 n - 1} sin (\frac{1}{n}))

What is the limit as x approaches 0 of cotan(x)-1/x ?
The limit as x approaches 0 of cotan(x)-1/x is diverges