am i correct with bolzano Weierstrass lim inf/sup definition..by transgalactic Tags: bolzano, correct, definition, inf or sup, weierstrass 

#1
Dec1408, 05:25 AM

P: 1,399

i am given a bounded function
[itex] y_n [/itex] by the law of bolzano Weierstrass there has to be a sub sequence which converges. [itex] y_n_k [/itex] why ?? [itex] lim sup y_n=>lim y_n_k n> infinity [/itex] lim sup is the supremum of the limits group of Xn supremum is the least upper bound.so its bigger then any limit of a subsequence correct? 


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