Question: a) Suppose that {xn) and {yn} converge to the same real number. Prove that xn - yn 0 as n . b) Prove

a) Suppose that {xn) and {yn} converge to the same real number. Prove that xn - yn → 0 as n → ∞.
b) Prove that the sequence {n} does not converge.
c) Show that there exist unbounded sequences xn ≠ yn which satisfy the conclusion of part (a).

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