Very very helpful explanation. After struggling 2 days finally I got the idea of the proof of general definition of supremum and infimum. Dear sir, Thank you from the button of my heart
One question on the definition of Supremum. Say there is a set S = [1,4] and I take a = 3. So as per the definition given above. for all e>0, there exist (!) an x in S s.t. a-e < x
Really good explanation, could I get the notes with the other proof for f(c)>0 but I don't know if it's actually correct. I followed your same steps but going from the right to the left. Thank you in advance
B + epsilon can't be lower bound A - epsilon can't be upper bound Max min must be elements of the set Super inf may not be elements of the set Prove intermediate value theorem using supremum infimum Book spewak
Very very helpful explanation. After struggling 2 days finally I got the idea of the proof of general definition of supremum and infimum. Dear sir, Thank you from the button of my heart
button lol
One question on the definition of Supremum. Say there is a set S = [1,4] and I take a = 3. So as per the definition given above. for all e>0, there exist (!) an x in S s.t. a-e < x
Fabulous
Very well elaborated made very easy to get about Infima and Suprema
Thanks a lot
Nicely explained! Better than my teacher at IIT Kgp and understandable enough for a student on his first day!
Excellent, I understand this clearly now,Im now familiar on the terms they used.
Thank you so much sir for such a clear explanation
Nothing is interesting than proving theorems in real analysis 😁 I am in love with sk mapa though I am bsc general student.
Key concepts explained so well. Donnyavad!
I have never seen real mathematice teaching like you
It is great, sir
Great explanation
Really good explanation, could I get the notes with the other proof for f(c)>0 but I don't know if it's actually correct. I followed your same steps but going from the right to the left. Thank you in advance
You are talented. we need more videos
Nice
very nice.send more and more in my mail
i have one doubt this topic, upper bound is also a lub, lower bound is take it as g l b
where is hole play list
I like your lecture sir I want your notes so can you please give me any link to download it
Visit nptel and go course name search and download pdf and assignment
@Anubhav Mahapatra is there other courses playlists of joydeep sir available on utube. ....
B + epsilon can't be lower bound
A - epsilon can't be upper bound
Max min must be elements of the set
Super inf may not be elements of the set
Prove intermediate value theorem using supremum infimum
Book spewak
sir, i think their should be 1 - e < x < 1 + e. for x being the lub.
Yess that's by the Archimedian Property
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