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As the positive integer n {\textstyle n} becomes larger and larger, the value n × sin ( 1 n ) {\textstyle n\times \sin \left({\tfrac {1}{n}}\right)} becomes arbitrarily close to 1 {\textstyle 1} . We say that "the limit of the sequence n × sin ( 1 n ) {\textstyle n\times \sin \left({\tfrac {1}{n}}\right)} equals 1 {\textstyle 1} ."
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sequence limit displaystyle textstyle one limits real infty exists right numbers lim left definition sequences converges symbolically tend divergent said
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Limit of a sequence | is a | value that the terms of a sequence | 0.90 | text |
| Euler succeeded in summing some divergent series by stopping at the right moment | instance of | mathematicians | 0.80 | text |
| Limit of a sequence | related to Examples | Examples | 0.60 | section |
| Limit of a sequence | related to Examples | If | 0.60 | section |
| Limit of a sequence | related to Examples | The | 0.60 | section |
| Limit of a sequence | related to Examples | Given | 0.60 | section |
| Limit of a sequence | related to Examples | For | 0.60 | section |
| Limit of a sequence | related to Examples | Finding | 0.60 | section |
| Limit of a sequence | related to Examples | Two | 0.60 | section |
| Limit of a sequence | related to Properties | Some | 0.60 | section |
| Limit of a sequence | related to Properties | When | 0.60 | section |
| Limit of a sequence | related to Properties | Limits | 0.60 | section |
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