Question

find the limit of a(subscript n)=(n^2)(1-cos(3.4/n))

I don't understand why it is not 0.

Answer 1

why would it be 0? and which class is this for?

Answer 2

as n goes to infinity, cos (3.4/n) would go to 1) so it would be (n^2)(1-1) which equals 0.

This is for calculus 3.

Answer 3

No you're right it is 0. What answer do you have?

Answer 4

5.7...

Another example is a(subscribt n)=(n^2)(1-cos(4/n)).
The solution: the limit as n-> infinity is 4.

I do not know how to get this.