What is the limit as x approaches+pi/2 of cot(x) ?

The limit as x approaches+pi/2 of cot(x) is 0

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limit as x approaches+pi/2 of cot(x)

x \to + \frac{π}{2} lim (cot (x))

0

Solution steps

x \to \frac{π}{2} lim (cot (x))

Plug in the value

x = \frac{π}{2}

= cot (\frac{π}{2})

Use the following trivial identity:

cot (\frac{π}{2}) = 0

cot (x)

periodicity table with

πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cot (x) \mp \infty 31 \frac{3}{3} 0 - \frac{3}{3} - 1 - 3

= 0

f (x) = 5 arcsin (x^{3})

\frac{e ^{x}}{x}

\int_{1}^{2} x ln (x) d x

x \frac{d y}{d x} + (2 x + 1) y = x e^{- 2 x}

\int \frac{x ^{2}}{x - 2} d x

What is the limit as x approaches+pi/2 of cot(x) ?
The limit as x approaches+pi/2 of cot(x) is 0