Continuous function in [a,b] is uniformly continuous in [a,b], proof

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Hello friends,
In this video I have proved a very important theorem on uniform continuity. Theorem is –
A function which is continuous in a closed interval [a,b] is uniformly continuous in [a,b].

The Best explanation of Continuity and Uniform Continuity in hindi

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Real analysis itna easy kabhi nahi lga tha mujhe, very excellent explanation sir.

ManojKumar-jpze

Very helpful video .... Thank u so much sir

anjalianthal

Real analysis ka course kesa app ma la sakta haan plz reply karna sir

sohail_

please give an example of such types of function

asmrsand_cementcrushing

Nice efforts and good exposition about the subject matters pertaining to U.C.
Sir, your explanation is very effective and understandable. Keep it up.
There is one question for you sir please solve it

Q. Examine the uniform continuity of the function-
f : ( 0, 1 ) R such that
f(x) = 1/( 2 - x)

Thanks a lot.

ganapatibrahma

Accordingly to your proof if we take (a, b) in place of [a, b], even then the continuity will imply the uniform continuity. What property of closed interval is used here ?

solmaths

Very nice explanation Sir. I hope you will provide more videos on real analysis..Thank you.

dhaneshdoley

Sir bo 1/x2 is not uniform continuous ka solution chahiye

sumanranjanpujari

Excellent lecture. Plz upload some more lectures on real analysis

awaisjamil

Sir please explain others theorem of uniform continuous function.

nishajoshi

Sir I have nothing to say about you...because you are god

rssantanu

Thank you so much sir... Great explanation

mhonthungovung

Continuity and differentiability bsc 2nd year upload full lectures

AmitMishra-yqsp

Sir wo Delta relationship mein equal sing ko ommit Kar sakte Hain Kya??

sumanranjanpujari

Sir linear transformation of matrix par video banayiye

rajaramnishad

Sir uniform continuity ki 1rst vedio ka link nhi mil rha plzz send...

babitarani

Very nice video 👌. Thnku sir excessively helpful for 11th hour preparation.

koushikgorain

Sir plz upload some important theorem on continuity also

-ipshitaprasad

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