The harmonic series does not have this property.
To determine if a Fourier series has this property, the Dini-Lipschitz criterion is used. The Bolzano-Weierstrass theorem states that every bounded sequence in Rn has a subsequence that has this property. A Cauchy sequence has this property if its metric space is complete. A geometric series has this property if the absolute value of the common ratio is less than one. The harmonic series does not have this property. For 10 points, name this property of a sequence or series that approaches a finite limit, contrasted with divergence.
To determine if a Fourier series has this property, the Dini-Lipschitz criterion is used.
convergence [accept word forms]