Lecture 12 | Limit Sup. and Limit inf. | Basics of Sequence | Sequence and Series | IIT-JAM
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- Опубликовано: 18 сен 2024
- In this course, we will study the very basic concepts of Sequence and Series. We will start with the basics of sequence and series. VY Sir will teach the complete syllabus of IIT JAM. This course will take 1 month to be completed. Each class duration will be 45 min. B.Sc., B.A., and B.Tech students can come to the class for their semester exams. Make a proper notebook for sequence and series.
For Class notes, you can join the telegram channel and download notes from the telegram.
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The lecture was just as smooth as butter . All things are first class clear . I am just loving this playlist of SEQUENCE AND SERIES after some times I am learning something new . I think this all is happened because of you 🙏 how you taught specially with examples 😊 that make all concepts clear . Thank you so much bhaiya ❤️❤️.
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at 36.20 . sir if seq is bounded then seq is convergent iff limit superior = limit inferior . ye hoskhta hain kya ....
Yess correct i think
Sir agar limit point exist nhi hai to largest and smallest limit point ki baat hi nhi krnge kya aisa bola sakte hai?...
Bhai agr lp exist nhi ye kaise koee example dena ,lp exist nhi hota to bdd nhi hota h to convergent nhi hoga
class bhut achhi thi doubt clear ho rha h yha sb
thankyou sir for this session
sir 39:08 par apne jo note likwaya haii woh galat haii mere according kyuki app counter example lelo iss sequence ki odd wali subsequence hogiiii which has a unique limit point but agar me issi sequence ki even wali subsequence lu which is loo sir iss sequence k pass limit point hi nahi haiii..... lo fir statement galat ho gayiiiii.....
Bhut badhiya sir 🙏
Sir take example
(1,2,1,3,1,4,1,5,1,6,1,7,...)
Here limit point is 1. So largest limit point is 1, smallest limit point is 1. Same so it must be cgt.to 1
But as we know it is divergent
A bounded sequence is cgt to l iff lim sup = lim inf=l
@@vibhamishra3290 yes that is what i wanna say that seq.must be bounded
Oll concept ore clear sir
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Sir, let me ask u something. U said that limit sprmm is the largest limit point of a sequence...then u gave an example sequence 'n'. But ' n' has no limit..then how we can say... infinity is the largest limit point
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I have a question what is Applicable and uses of SEQUENCE AND SERIES??
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