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

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

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

x \to 0 lim (cot (\frac{π}{2} - x))

0

Solution steps

x \to 0 lim (cot (\frac{π}{2} - x))

Plug in the value

x = 0

= cot (\frac{π}{2} - 0)

Simplify

cot (\frac{π}{2} - 0) : 0

= 0

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