6. Let X CR” be a compact connected Jordan and suppose that f is a continuous on X. Prove that there exists an xo E X su

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6. Let X CR” be a compact connected Jordan and suppose that f is a continuous on X. Prove that there exists an xo E X su

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6 Let X Cr Be A Compact Connected Jordan And Suppose That F Is A Continuous On X Prove That There Exists An Xo E X Su 1
6 Let X Cr Be A Compact Connected Jordan And Suppose That F Is A Continuous On X Prove That There Exists An Xo E X Su 1 (73.08 KiB) Viewed 23 times
6. Let X CR” be a compact connected Jordan and suppose that f is a continuous on X. Prove that there exists an xo E X such that f = f(x0)V(X) = X where V is the volume of X. Using this result, if D is a disk in R2 with center a and radius r, prove that 1 lim f = f(a). r=0 πη2 lo = D
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