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Thanu Dharshani posted an Question
January 05, 2021 • 12:01 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
in this theorem "a" belongs to S' is given. what is S'?
Impoir points. Theorem: Every imit pOInt or ne range set of a sequence is limit point of a sequence. Solution : Let S be range set of sequence fal. i.e. S = range of fa,) Let a e S for e> 0 (a - &, a + 8) N S{a} has infinite no. of points Let q e (a E, a + 6) N S{a} E (a- &, a + s) and q e S As ES g a, for some k e N So a, e (a E, a + &) Hence, (a - E, a + 8) contains infinite no. of terms of sequence Proved a is limit point of sequence (a,
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Thanu dharshani 1
lim sup and lim inf?? how to find it
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Anonymous User
https://youtu.be/1l1GHFBuv2Y
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Anonymous User
if u satisfied with answer then accept it as best answer
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Anonymous User
S' is the set of all limit points of Set S
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Anonymous User
and a is the limit point
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Anonymous User
![best-answer]()
S' is the set of limit point of the range set S
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Anonymous User Best Answer
See attachment below.
![cropped2519169663745884161.jpg]()
![cropped1601153357347658672.jpg]()
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Thanu dharshani 1
here "a" belongs to S' is given. S' denotes what?
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Thanu dharshani 1
can u give some example sums in finding limit of sequence and limit point of sequence??