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

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

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

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

diverges

Solution steps

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

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

= diverges

x \to \infty lim (\frac{9}{10})

x \to - 5 lim (6 x^{2} - 3 x + 2)

x \to 4 lim (\frac{x}{x - 2})

x \to 0 lim (x - x^{2})

x \to a lim (a x^{n})

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