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Nilanjan Bhowmick AIR 3, CSIR NET (Earth Science)
L.sufiya Khanam posted an Question
October 11, 2020 • 20:58 pm
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30 points
30 points
- IIT JAM
- Mathematics (MA)
Clarification
give meaning. an. example on. this. theorem
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Shashi ranjan sinha![best-answer]()
the theorem says that if every Kth term of the sequence {An} is less than or equal to the corresponding Kth term of the sequence {Bn}, then the limit of the sequence {An} is also less than or equal to the limit of the sequence {Bn}. For example, consider An = 1/2n and Bn =1/3n. then limit of {An} and {Bn} are equal to zero. and if you consider the third sequence Cn= (1+1/n). Then, again the conditions are satisfied. but this time the limit of Cn is 1, which is greater than the limits of An and Bn. so, under the given conditions, the limit of later sequence can be greater than or equal to the limit of earlier sequence