Q.Let f(x) : [a,b]satisfies U(P, f) - L(P1, f) <a. U(P, f) < L(P, f).b. f(x) E R(la, b]).c. f(x) ¢ R([a, b]).d. U(P, f) = L(P, f).R be a bounded mapping and we find a partition P2for every n. Thenn+1

Answered: Image /qna-images/answer/2d2f5095-0d41-4669-96f0-ac920ddc6889.jpg

Q.Let f(x): [a,b] →R be a bounded mapping and we find a partition P satisfies U(P, f) – L(P1, f) < 2 for every n. Then n+1 a. U(P, f) < L(P,). b. f(x) E R([a, b). c. f(x) ¢ R([a, b]). d. U(P, f) = L(P, f).

Q.Let f(x): [a,b] →R be a bounded mapping and we find a partition P satisfies U(P, f) – L(P1, f) < 2 for every n. Then n+1 a. U(P, f) < L(P,). b. f(x) E R([a, b). c. f(x) ¢ R([a, b]). d. U(P, f) = L(P, f).

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

Q.Let f(x) : [a,b]
satisfies U(P, f) - L(P1, f) <
a. U(P, f) < L(P, f).
b. f(x) E R(la, b]).
c. f(x) ¢ R([a, b]).
d. U(P, f) = L(P, f).
R be a bounded mapping and we find a partition P
2
for every n. Then
n+1

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