Proof of R is not Compact | L3 | Compactness @ranjankhatu

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Proof of R is not Compact | L3 | Compactness @Ranjan Khatu
#ranjankhatu
#not Compact
#R

Check the following Playlists on the Topics
1. Line Integrals
2. Calculus- Unit 1
3. Complex Analysis
4. Series
5. Triple Integration

6. Metric Spaces
7. Double Integration

8. Applications of Laplace Transforms
9. Laplace Transforms

10. Indefinite and Improper Integrals

11. Riemann Integration
12. Limits and Continuity
13. Basic Complex Analysis

14. Continuous Functions
15. Function

16. Beta and Gamma Functions
17. IIT JAM | Double and Triple Integration
18. Surface Integrals
19. Compact Metric Space

Ranjan Khatu

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Great Sir, , , , you have something charismatic ❤

Synogofficial

Hello Prof., I like your clear arguments in all your videos.

Please, is it not enough to end at equation (3) before finding the maximum N... By concluding that the union of a finite collection is finite and so is R which is a contradiction.

MathematicsMadeSimple

thank you a lot Prof, i need to recommend me witch book can I use for function analysis

abdoulkarenzo

Hello sir,
At 15th min, isn't it sufficient to show that R is a subset of (-N, N) ? Because even then we can arrive at a contradiction. Why do we write that it is equal ?

rajshantanu

thank you a lot Prof, i need to recommend me witch book can I use for function analysis

abdoulkarenzo

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