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.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 58E
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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.
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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