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7) In fact, “f” has a limit at all accumulation points of “D”, except for (0,0), (+∞,0), (1,+∞) and (1,−∞).
8) Any accumulation point of a Cauchy sequence is a limit point (“x””n”); hence any Cauchy sequence in “E” converges in “E”, in other words: “E” is complete.
9) Hence, the intersection of all “F””n” is not empty, and any point in this intersection is an accumulation point of the sequence (“x””n”).
10) If “S” is compact but not closed, then it has an accumulation point “a” not in “S”.
11) When ordering by set inclusion, the supremum limit is the least upper bound on the set of accumulation points because it “contains” each of them.
12) Glass under vacuum becomes more sensitive to chips and scratches in its surface, as these form strain accumulation points , so older glass is best avoided if possible.
13) If one chooses an infinite number of distinct points in the unit interval, then there must be some accumulation point in that interval.
*** datum accumulate – cell accumulate – water accumulate – gas accumulate – damage accumulate – protein accumulate – evidence accumulate – evidence accumulate – sediment accumulate – snow accumulate – debris accumulate – accumulates – accumulated – accumulating – accumulate a fortune – accumulate knowledge – accumulation – accumulations – accumulation point – ***This site is designed to teach you English words in context with collocations with the help of example sentences.
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