# What is limit in sequence a(subscript n)=nln(1+sin(3pie)/2n)?

*print*Print*list*Cite

### 1 Answer

### User Comments

`a_n=nxxln(1+sin((3pi)/(2n)))`

`a_n=nxx(sin((3pi)/(2n))-(sin((3pi)/(2n)))^2/2+....)`

`|sin((3pi)/(2n))|<=1`

`|nsin((3pi)/(2n))|<=n`

`|a_n|<=|nsin((3pi)/(2n))|<=n`

`lim_(n->oo)|a_n|<=lim_(n->oo)(n)`

`Thus`

`lim_(n->oo)a_n =oo`

``