Analysis of the sequence {cos(n)}
This worksheet illustrates the behavior of the sequence {cos(n)}. The pink lines are adjusted by moving the epsilon slider, consider this an arbitrary closeness. The a slider is your limit, you can check for arbitrary closeness to any value by adjusting a up and down. The dots are spaced one unit apart and can be moved left and right by the h slider. The dots are blue when they are close enough to your limiting value, they turn red if they get too far away.