Let d be the function on R x R defined by S |xy, if x - y ≤ 2, and { = 2, otherwise. d(x, y) = s a metric on R. Describe the sequences an for which lim an = 3 according to n→∞
Let d be the function on R x R defined by S |xy, if x - y ≤ 2, and { = 2, otherwise. d(x, y) = s a metric on R. Describe the sequences an for which lim an = 3 according to n→∞
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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Advance math
Transcribed Image Text:Let d be the function on R x R defined by
|xy, if |xy| ≤ 2, and
otherwise.
d(x, y) = { 2,
Show that d is a metric on R. Describe the sequences an for which lim an = 3 according to
this metric.
n→∞
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