Question: Let S = { 1 - [-1) n [ n E N ). Determine inf S and sup S. Justify. Prove the Generalized Triangle Inequality:

Let S = { 1 - [-1)" n [ n E N ). Determine inf S and sup S. Justify. Prove the Generalized Triangle Inequality: if a1, az, .. ., an E R then |a, + a2 + . . . + an| S |ail + laz|+ . . .+ |anl. (Hint: Use the Principle of Mathematical Induction)

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