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since....
x1 = 1 & x2 = 2 we have....
x1 • x2 • x3 = 1
1 • 2 • x3 = 1
x3 = 1/2
again....
x2 • x3 • x4 = 1
2 • 1/2 • x4 = 1
x4 = 1
and also...
x3 • x4 • x5 = 1
1/2 • 1 • x5 = 1
x5 = 2
x4 • x5 • x6 = 1
1 • 2 • x6 = 1
x6 = 1/2
therefore.....
{ xn } = { 1, 2, 1/2, 1, 2, 1/2, 1.........}
means......
{ xn } = { 1, 2, 1/2, }
hence......
{ xn } is a oscillatory sequence
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