3. Let z € R" be denoted by x = (₁, 2,...,n) and || x ||:= √√x² + x² + +x². Let f: RR be defined by f(x) =|| x ||. Using the € - 6 definition, show that f is continuous at all points.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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3. Let z € R" be denoted by x = (₁, 2,...,n) and
|| x ||:= √√x² + x² + +x².
Let f: RR be defined by f(x) =|| x ||. Using the € - 6 definition,
show that f is continuous at all points.
Transcribed Image Text:3. Let z € R" be denoted by x = (₁, 2,...,n) and || x ||:= √√x² + x² + +x². Let f: RR be defined by f(x) =|| x ||. Using the € - 6 definition, show that f is continuous at all points.
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