Real Analysis | Neighbourhood of A Point | Neighbourhood of a point examples

[@gajendrapurohit]

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[@IIT_JAM_MATH_ASPIRENT]

Dought
If (-1,1) is open interval so it's nabourhood of its each and every point so let's p=1/2 and €=2 so it's nabourhood is (-1.5, 2.5) which is not subset of (-1,1) so how for every point of open interval is it's nabourhood?

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Sir ek sawal hai ki sir in the Domain of Rational Numbers , irrational numbers are deleted neighborhood?...

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Bro aap notes banao har Topic ki playlist dekh kar.
Pdf se better notes hota h.
Experience se bta rha hu.

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Thank you sir....i have been waiting for it....because i cannot understand real analysis concept from books...please cover all topics of real analysis as soon as possible

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UA-cam channel: Thinkers Academy

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Very helpful teaching of Mathematics methods are very good
Please you are our hero like group theory please complete the Playlist of real analysis

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Please continue This topic

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Sir plz clear these points also in a video lecture
Field
Dedekind infinite set
Ordered set
Upper bound
Lower bound
Extended real number system
Open covering

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What is the use of epsilon and why we use epsilon in real analysis?

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ANALYSIS

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Sir plz Ye Question solve krwa dyn.......
Given f:[a,b]→Cwrite the real and imaginary points as f=f_(r )+if_r show that f∈bounded variation on [a,b]if and only if f_r and f_i ∈bounded varaition [a,b]

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Good morning sir! Sir when epsilon is greater than zero,why not we take the value of epsilon is 1 or greater than 1..? And sir explain nbd with not only end points but also another points of bracket, please!

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