Give an example of a divergent sequence which has two convergent subsequences. Justify your claim.

One example of a divergent sequence that has two convergent subsequences is the sequence of real numbers defined as follows:

Consider the sequence {(-1)^n}, where n is a positive integer. This sequence alternates between -1 and 1 as n increases. It is a well-known _______ ___ __________ ___ _________ _____ ______ ________ ______ _______.
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