RE: INTEGRALS

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1 total messages Started by Sheila King Sat, 23 Jan 1993 01:20

#504

Author: Sheila King
Date: Sat, 23 Jan 1993 01:20

31 lines
1587 bytes

To: Brian Harvey

-> >So, what you're saying is that any time a sum or difference involves
-> a >divergent series, there is no answer to the sum or difference? Is
-> this >true in all cases?
->
-> Right -- this is the *definition* of "divergent"!

OK, I'm learning something. Actually, this whole discussion has made me
feel the need to get out a few calculus books and read the chapters on
divergent/convergent series again. Last time I covered that material was
two summers ago, and I sure *thought* I understood it. I guess I've just
forgotten some of the particulars.

-> The best you can say is that
->
->       lim [a -> 0] <integral from -2 to -a> + <integral from a to 2>
->
-> is zero.

OK, this statement makes a great deal of sense to me. So that particular
limit above is zero, but the integral from 0 to 2 of 1/x is divergent.
OK. Thanks,

Sheila
coming to you from Diamond Bar, CA (in Los Angeles County)
                                                                                                         

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