What is the limit as x approaches 0 of 2-cot(x) ?

The limit as x approaches 0 of 2-cot(x) is diverges

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limit as x approaches 0 of 2-cot(x)

x \to 0 lim (2 - cot (x))

diverges

Solution steps

x \to 0 lim (2 - cot (x))

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

then the limit does not exist

x \to 0 + lim (2 - cot (x)) = - \infty

x \to 0 - lim (2 - cot (x)) = \infty

= diverges

x \to \infty lim (1 - 3 x)

x \to - π lim ((x - π) csc (x))

x \to 5 lim (3 x - 12)

x \to 1 lim (ln (1 + x))

x \to 0 lim (8 ln (x))

What is the limit as x approaches 0 of 2-cot(x) ?
The limit as x approaches 0 of 2-cot(x) is diverges