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Thursday, June 15, 2017

Advanced knowledge Problem of the Week: 6-14-17 [Real Analysis]

Check out this exercise covering uniform and pointwise convergence of sequences of functions! Let us know how you did in the comments below or on social media!

According to one of the Littlewood's three principles, every convergent sequence of functions is almost uniform convergent, meaning that the sequence of functions converging pointwise also converges uniformly in a smaller closed set. May I check that this sequence of functions converges uniformly in [a,2], where a>0?

According to one of the Littlewood's three principles, every convergent sequence of functions is almost uniform convergent, meaning that the sequence of functions converging pointwise also converges uniformly in a smaller closed set. May I check that this sequence of functions converges uniformly in [a,2], where a>0?

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