Suppose P is a partition of the interval [a, b], andf: [a, b] → R and g: [a, b] → R are bounded functions.True or false: The upper Darboux sum U(P, f + g) equalsU(P, f)+U(P, g).O TrueO False

If we give a example in which the statement U(p,f+g)=U(p,f)+U(p,g) is false then we are done.

Answered: Suppose P is a partition of the…

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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Suppose P is a partition of the interval [a, b], and f: [a, b] → R and g: [a, b] → R are bounded functions. True or false: The upper Darboux sum U(P, f + g) equals U(P, f)+U(P,g). O True O False