Consider the function G: R²\{0} → R defined by 12,8 (x10 + x10)² G(x): = Find an expression for the limit of G as →→ 0 along the line x₂ = mx₁ where m=(0, ∞) is a positive real number.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Consider the function G: R² \ {0} → R defined by
8
x1²x2
(x10 + x₂10)²
G(x) =
=
Find an expression for the limit of G as x → Ổ along the line x2 mx₁ where mE (0, ∞) is a positive real
number.
Transcribed Image Text:Consider the function G: R² \ {0} → R defined by 8 x1²x2 (x10 + x₂10)² G(x) = = Find an expression for the limit of G as x → Ổ along the line x2 mx₁ where mE (0, ∞) is a positive real number.
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