Let ƒ : f: R” → R be a function given by ƒ(x1,x2,...,xn) = x².x² …x², where n x² = 1. Show that the maximum of f(x1, x2, ….….,xn) is n¹/¹. k=1 Prove that the impronor integral

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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· Let ƒ :
f:
Rª → R be a function given by ƒ(x₁,x2,...,xn) = x².x² …..x²2, where
n
x² = 1. Show that the maximum of f(x₁,x2,…,xn) is n¹/¹.
k=1
Prove that the impronor integral
Transcribed Image Text:· Let ƒ : f: Rª → R be a function given by ƒ(x₁,x2,...,xn) = x².x² …..x²2, where n x² = 1. Show that the maximum of f(x₁,x2,…,xn) is n¹/¹. k=1 Prove that the impronor integral
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