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

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

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limit as x approaches 0 of cot(x)

x \to 0 lim (cot (x))

diverges

Solution steps

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

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

= diverges

\frac{d}{d y} (2 y - 1)

y^{^{''}} - 2 y^{^{'}} + 1 y = 0, y (0) = - 1, y^{^{'}} (0) = 2

\int \frac{1}{cos ^{2} ( x )} d x

\frac{d}{d x} (ln (x) + x)

f (t) = \frac{8 ^{8 t}}{t}

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