Question

What is this limit equal to?

Answer 1

Since the cotangent function is defined as

`\cot(x) = (\cos(x))/(\sin(x))`

we have that the cotangent equals zero at
`(\pi)/(2)`, because we have

`\cot\left((\pi)/(2)\right) = (\cos\left((\pi)/(2)\right))/(\sin\left((\pi)/(2)\right)) = (0)/(1) =0`

So, the limit simply becomes

`(\pi)/(2)\cdot 0 = 0`