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Prove for the following set of conditions that there is a subsequence f_k(x) that converges to a continuous function f(x): 1. f_k(x) is an infinite sequence of functions from the interval [0,1] to the set of real numbers. 2. The sequence is uniformly bounded, i.e. there exists some R<infty s.t. |f_k(x)|<R for all x,k. 3. The sequence is equicontinuous at every x.
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Upper Level Mathematics Course Assistant

Interviewed at Harvard University

4.2★
Mar 27, 2014

Prove for the following set of conditions that there is a subsequence f_k(x) that converges to a continuous function f(x): 1. f_k(x) is an infinite sequence of functions from the interval [0,1] to the set of real numbers. 2. The sequence is uniformly bounded, i.e. there exists some R<infty s.t. |f_k(x)|<R for all x,k. 3. The sequence is equicontinuous at every x.

How may children do you have? What are their ages? What are their occupations? What does your husband do? At this point the interviewer said he was now going to get personal. I left before I found out what 'personal' meant.
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Trainer/Course Developer

Interviewed at Cohu

3.5★
Jan 24, 2019

How may children do you have? What are their ages? What are their occupations? What does your husband do? At this point the interviewer said he was now going to get personal. I left before I found out what 'personal' meant.

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