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Sands9:12.dvi Prove that if the sequence {a n } converges and the sequence {b n } diverges, then the sequence {a n + b n

Sands9:12.dvi

Prove that if the sequence {a_n} converges and the sequence {b_n} diverges, then the sequence {a_n+ b_n} diverges. (Hint: b_n= (a_n+ b_n) a_n.)

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