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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
L.sufiya Khanam posted an Question
October 01, 2020 • 20:37 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
Sequences and series
PLZ EXPLAIN ME WITH AN EXMAPLE .
sequenoes equences Definition : A sequence (a,) is called infinitely large if vK e R3 n, e N a la K Ynzn ntinitely large sequences repi N ch that Edunde As an example, we show that the sequence ((-1) n) is infinitely large. Indeed, for any number K, we can find n, such that I(-1)" nl > K vn2 n Examplesa Th To this end, we solve the inequality n > K, and n> K. t Let n= RK] + 1, where [c] is the integer part of c. Then fornèn, we obtain. n2n >k n >K -1)" n'| > K. 3 Howeve From above Definition it follows that any infinitely large sequence is unbounded. Heue converse is not true: there exist unbounded sequences that are not infinitely large. For example, such is the sequence {(1 - -1))n}. Definition. A sequence fa) is called infinitely small if lim a, = 0, n- that is for any &> 0 there exists n. such that a
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Anuj s.![best-answer]()
https://youtu.be/b_sU9eav_E4 plz go through this video , it will help you to know that what is infinity large and small (it is not related to sequence) then , by this, you can easily understand , don't confused by definition