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[parent] convergent series where not only$~a_n$ but also $na_n$ tends to 0 (Theorem)
ConvergentSeriesWhereNotOnlyA_nButAlsoNa_nTendsTo0

"convergent series where not only$~a_n$ but also $na_n$ tends to 0" is owned by pahio. [ full author list (3) ]
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See Also: necessary condition of convergence

Keywords:  decreasing

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Cross-references: over-harmonic series, convergent, perfect square, series, counterexample, limit, monotonicity, inequalities, implies, decreasing, integer, terms, Cauchy criterion for convergence, number, proof, sequence, monotonically decreasing, positive, convergent series, proposition
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This is version 10 of convergent series where not only$~a_n$ but also $na_n$ tends to 0, born on 2009-10-06, modified 2009-10-20.
Object id is 11941, canonical name is ConvergentSeriesWhereNotOnlyA_nButAlsoNa_nTendsTo0.
Accessed 364 times total.

Classification:
AMS MSC40A05 (Sequences, series, summability :: Convergence and divergence of infinite limiting processes :: Convergence and divergence of series and sequences)

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A_n pro a_n by pahio on 2009-10-07 15:58:29
Hi experts, how could I get "a_n" instead of "A_n" in the title of
http://planetmath.org/encyclopedia/ConvergentSeriesWhereNotOnlyA_nButAlsoNa_nTendsTo0.html ?
I have made many trials =o(
Jussi
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