Proof that a continuous function on a closed interval is uniformly continuous

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This is one of the most outstanding videos, I have seen so far. I love the way you break it down nicely. Thanks so much.

mfonpeter
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Thanks Dr khalilah for your smooth explanation . What do you think about Spivak proof in his book calculus Appendix. Uniform Continuity pg 143 ? any notes about his approach ?

mahmoodhaithami