Question

limit as n approaches infinity of pi*cos(pi*n)

Answer 1

what is cos (pi) , cos (pi*2) , cos(pi*3) ...

Answer 2

1

Answer 3

we have an alternating sequence

Answer 4

1, -1, 1, -1, 1,....

Answer 5

so the sequence becomes pi * (-1)^n+1 , and that doesnt converge

Answer 6

the sequence is pi, -pi, pi , -pi, .... which oscillates

Answer 7

maybe i simplified my problem incorrectly. the way this question is organized in my assignment, it must have a limit.

What is the limit as n approaches infinity of 2rn*sin(pi/n) ? where n is a pos. integer and r is the value of my radius