6. (a) Prove that if I:~=l ak converges, then its partial sums Sn are bounded. (b) Show...
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6.
(a) Prove that if I:~=l ak converges, then its partial sums Sn are bounded.
(b) Show that the converse of part
(a) is false. Namely, show that a series I:~l ak may have bounded partial sums and still diverge.
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