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In mathematics, a series or integral is said to be conditionally convergent if it converges, but it does not converge absolutely. ==Definition== More precisely, a series is said to converge conditionally if exists and is a finite number (not ∞ or −∞), but A classic example is given by : which converges to , but is not absolutely convergent (see Harmonic series). The simplest examples of conditionally convergent series (including the one above) are the alternating series. Bernhard Riemann proved that a conditionally convergent series may be rearranged to converge to any sum at all, including ∞ or −∞; see ''Riemann series theorem''. A typical conditionally convergent integral is that on the non-negative real axis of (see Fresnel integral). 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「conditional convergence」の詳細全文を読む スポンサード リンク
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