Question

Plz help!
Evaluate the limit of the following.
(1/n)(sin(n*pi/2))

Answer 1

`(\pi)/(2)`

Explanation:

When
`n->`0 ,
`(Sin(kn))/(n)->k`

This is because,

using l'hospital's rule,
`Lt_(n->0)(sin(kn))/(n)=(kcos(n))/(1) =(k* 1)/(1) =k`

In the given question,
`k=(n*\pi)/(2)`

So,the given limit evaluates to
`(n\pi)/(2)`