S1 , if reQ The function f: (0, 1] →R defined by f(a) - 3 if z ER\Q 1. is Riemann intograble over (0, 1]. 2. satisfies s(P) = 3 and S(P) 1 over any partition of (0, 1). 3. does not satisfy the Cauchy criterion of integrability. 4. None of the above. 1 2 3 4 O O

S1 , if reQ The function f: (0, 1] →R defined by f(a) - 3 if z ER\Q 1. is Riemann intograble over (0, 1]. 2. satisfies s(P) = 3 and S(P) 1 over any partition of (0, 1). 3. does not satisfy the Cauchy criterion of integrability. 4. None of the above. 1 2 3 4 O O

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

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1 , ifreQ
13, ifzeR\Q
The function f: (0, 1]R defined by f(r)
1. is Riemann integrable over (0, 1].
2. satisfies s(P) = 3 and S(P) = 1 over any partition of (0, 1).
3. does not satisfy the Cauchy criterion of integrability.
4. None of the above.
1
2
4
3.
O O

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