Example of a conditionally convergent series whose sum is zero
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Step-by-step explanation:
Any convergent reordering of a conditionally convergent series will be conditionally convergent. A typical example is the reordering
1,−12,−14,13,−16,−18,15,−110,−112,17,−114,…
of the alternating harmonic series, with sum 12log2.
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