=+used to prove Theorem 15.1(iii) and show that lim ,, ff ,, du = lim ,, fg

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=+used to prove Theorem 15.1(iii) and show that lim ,, ff ,, du = lim ,, fg ,, du. Thus, in the nonnegative case, ffdu can (Theorem 13.5) consistently be defined as lim, ff, du for simple functions for which 0 Sf, 1 f.

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