5. Suppose that ak ~ 0 and a~/k ---7 a as k ---7 00. Prove that 2:~1...
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5. Suppose that ak ~ 0 and a~/k ---7 a as k ---7 00. Prove that 2:~1 akxk converges absolutely for all Ixl < l/a if a =I- 0 and for all x E R if a = O.
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