18 November 2008

Folklore for divergent series

From Emanuel Kowalski, quoting what is apparently folklore: "The only 'truly' divergent series is the harmonic series."

The idea is that one can assign a value somehow to basically any other divergent series; see the link for a more thorough explanation.

(But don't tell the calculus students! They already can't remember the harmonic series is divergent.)

And I usually think of the harmonic series as being "equal" to log n, although of course log n isn't a number. So I amend the folklore, somewhat facetiously: "there are no divergent series."

1 comment:

yasiru89 said...

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