Let o be the hypercube [0, 1]". For any f e C[0, 1] show that (). (x1 + x2 + + Xn dxjdx2 dxn = f ... lim n-00 n

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 55E
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Let o be the hypercube [0, 1]". For any f e C[O, 1] show that
'X1 + x2 + • · · + xn
...
lim
dx¡dx2· · ·dxn = f
%3D
n00
= "xp... xplxp|
Transcribed Image Text:Let o be the hypercube [0, 1]". For any f e C[O, 1] show that 'X1 + x2 + • · · + xn ... lim dx¡dx2· · ·dxn = f %3D n00 = "xp... xplxp|
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