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Let f (a,b) R is a bounded function and c E (a, b). Show that the two notions of lim supe. xx f(x) A
Let f (a,b) R is a bounded function and c E (a, b). Show that the two notions of lim supe. xx f(x) A = sup{a alim f(x); liman = c}. n k B = lim f(x), sup n Ele-1/nc+1/n] coincide. That is, prove that A = B.
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To prove that the two notions of lim sup coincide we need to show that lim sup fx as x approaches c ...
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An Introduction to Analysis
Authors: William R. Wade
4th edition
132296381, 978-0132296380
