4. Study methods
To determine whether a family is summable, it's a good idea to have practical criteria and a sufficient number of examples. The calculation of the family sum is illustrated in the article Summatory procedures.
Since the summability of a family reduces, by definition, to that of the norm family, it is possible, at least in theory, to assume that all families are positive. We'll make this assumption explicit where appropriate.
In principle, the smaller the
term of a positive family, the better it satisfies the summability conditions. This comes from the definition...
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Study methods