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6. (8 pts) Give an example of a sequence that is monotonic and bounded. This should be an original series, not one used in an example anywhere in the class. = Prove that your sequence is either increasing or decreasing, and therefore monotonic. (Either do so with an inequality, or some argument about the function f(n) = an. Simply showing the first few terms are increasing or decreasing does not show that it is true for all the following terms). b. State an upper and a lower bound for your sequence, and show how you found them.