19 (a) Find a formula for sup(A₁UA2). Extend this to sup (U=1 Ak). (b) Consider sup (U=1 Ak). Does the formula in (a) extend to the infinite case?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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In part (a), please prove the part of the question asking for the extension of the sup by using mathematical induction

19
(a) Find a formula for sup(A₁UA2). Extend this to sup (U=1 Ak).
(b) Consider sup (U=1 Ak). Does the formula in (a) extend to the infinite
case?
Transcribed Image Text:19 (a) Find a formula for sup(A₁UA2). Extend this to sup (U=1 Ak). (b) Consider sup (U=1 Ak). Does the formula in (a) extend to the infinite case?
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