1 / 2 times (2 / 8 + 1 / 24 + 2 / 48... + 2 / 360)

1 / 2 times (2 / 8 + 1 / 24 + 2 / 48... + 2 / 360)

1 / 2 times (2 / 8 + 2 / 24 + 2 / 48... + 2 / 360)
=1/2+1/6+1/12+.+1/90
=1-1/2+1/2-1/3+1/3-1/4+.+1/9-1/10
=1-1/10
=9/10