What is the limit as x approaches 0 of coth(x) ?

The limit as x approaches 0 of coth(x) is diverges

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limit as x approaches 0 of coth(x)

x \to 0 lim (coth (x))

diverges

Solution steps

x \to 0 lim (coth (x))

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

then the limit does not exist

x \to 0 + lim (coth (x)) = \infty

x \to 0 - lim (coth (x)) = - \infty

= diverges

3 x^{2} + 4

\frac{1}{1 - x}

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

x \to 0 lim (\frac{cot ( 2 x )}{csc ( x )})

f (x) = x^{2} + 8, at x = 1

What is the limit as x approaches 0 of coth(x) ?
The limit as x approaches 0 of coth(x) is diverges