What is the limit of cosx when x tends to infinity

What is the limit of cosx when x tends to infinity

[1] when x = (2n + 1) π, (n = 1,2,3,4,...), it is easy to know that the constant cosx = cos [2n π + π] = - 1. [2] when x = 2n π, (n = 1,2,3,...), it is easy to know that the constant cosx = (2n π) = 1