Lower limit refers to the smallest value in a class. Lower limit is also called as infimum limit, liminf, inferior limit or inner limit. The lower limit of sequence of real numbers can be found in the following ways.
- Remove the first term to obtain the first subsequence.
- Remove the first term of the first subsequence to get the second subsequence.
- Repeat the same procedure to get the third, fourth sequence etc.,
- Find the infimum of each of these subsequence. Similarly find the supremum of all the subsequence.
The supremum is referred as "lower limit".
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