Question: Let C be a fixed, positive constant. If {bn} is a sequence of nonnegative numbers that converges to 0, and {xn} is a real sequence

Let C be a fixed, positive constant. If {bn} is a sequence of nonnegative numbers that converges to 0, and {xn} is a real sequence that satisfies |xn - a| < Cbn for large n, prove that xn converges to a.

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