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Let X = R' and d be the metric on Rº given by d(x,y) = E., \x - y,| where x = (x, X2, Xa) and y = (y1, Y2. Ya). Let (r) be a sequence in R where x(a)=( 1-).neN.Is (x)) convergent in R2? If yes, find the limit.

Let X = R' and d be the metric on Rº given by d(x,y) = E., \x - y,| where x = (x, X2, Xa) and y = (y1, Y2. Ya). Let (r) be a sequence in R where x(a)=( 1-).neN.Is (x)) convergent in R2? If yes, find the limit.

Advanced Engineering Mathematics
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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Let X = R and d be the metric on R given by d(x, y) = E-1 - yı| where x = (x1, x2, Xạ) and y = (y1, Y2, Ya). Let (x()} be a sequence in R where x(m) = 1-),n EN. Is (x(m) convergent in R? If yes, find the limit.
Transcribed Image Text:Let X = R and d be the metric on R given by d(x, y) = E-1 - yı| where x = (x1, x2, Xạ) and y = (y1, Y2, Ya). Let (x()} be a sequence in R where x(m) = 1-),n EN. Is (x(m) convergent in R? If yes, find the limit.
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