Let P0 be a fixed point, and for each >0 let D be a domain w
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Let P0 be a fixed point, and for each >0 let D be a domain with boundary S satisfying the conditions of the Divergence T
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Let P0 be a fixed point, and for each >0 let D be a domain with boundary S satisfying the conditions of the Divergence Theorem. Suppose that the maximum distance from P0 to points P in D approaches zero as ! 0C. If D has volume vol.D /, show that lim !0C 1 vol.D / Z Z S F NO dS D div F.P0/: This generalizes Theorem 1 of Section 16.1.
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