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HW201 - R 1 f Be explicit Remark Some of these restrictions...

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Modern Analysis 2 Homework 01 1. Let ( a n : n > 0) be a strictly increasing sequence in (0 , 1) converging to 1 and let A = { a n : n > 0 } . Define f : [0 , 1] R by f ( t ) = 1 if t A and f ( t ) = 0 if t / A . Is f Riemann-integrable over [0 , 1]? If so, what is
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Unformatted text preview: R 1 f ? Be explicit. Remark : Some of these restrictions are artificial; for example, A can be replaced by a countable set with one limit point (or finitely many). 1...
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