Answered: 1 Let B be the set of all bounded…

1 Let B be the set of all bounded sequences of real numbers and define the function d: B x B → R by d(x, y) = sup |rn – Yn|- Show that (B, d) is a metric space.

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

1 Let B be the set of all bounded sequences of real numbers and define the function d :
B x B → R by
d(x, y) = sup |an – Yn|-
Show that (B, d) is a metric space.

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