Let L: R? → R be given by 2- if r+y #0 { L(x) = L(x, y) = 2.x otherwise Decide whether L is continuous at 0 = (0,0) E R². Justify your claim %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let L: R R be given by
{
if r+ y +0
Ity
L(x) = L(x, y) =
2.r
otherwise
Decide whether L is continuous at 0 (0,0) ER. Justify your claim.
%3D
Transcribed Image Text:Let L: R R be given by { if r+ y +0 Ity L(x) = L(x, y) = 2.r otherwise Decide whether L is continuous at 0 (0,0) ER. Justify your claim. %3D
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