Let r, y E R". Show that for any sequence {r4}, {Yk} such that x → r and yk → y, we have limg-→0 P(Ik; Yk) = p(x, y) where p : R²n → R is the Euclidean metric.
Let r, y E R". Show that for any sequence {r4}, {Yk} such that x → r and yk → y, we have limg-→0 P(Ik; Yk) = p(x, y) where p : R²n → R is the Euclidean metric.
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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Transcribed Image Text:Let r, y E R". Show that for any sequence {r4}, {Yk} such that x → r and yk → y, we have
limg-→0 P(Ik; Yk) = p(x, y) where p : R²n → R is the Euclidean metric.
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