# am i correct with bolzano Weierstrass lim inf/sup definition..

by transgalactic
Tags: bolzano, correct, definition, inf or sup, weierstrass
 P: 1,399 i am given a bounded function $y_n$ by the law of bolzano Weierstrass there has to be a sub sequence which converges. $y_n_k$ why ?? $lim sup y_n=>lim y_n_k n-> infinity$ 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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