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Math Help - prove the sequence converges uniformly

  1. #1
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    prove the sequence converges uniformly

    Let { s_n(x)} be a sequences of functions which converges uniformly to f(x) on the intervals [a,b] and [b,c]. Prove that the sequence { s_n(x)} converges uniformly on [a,c] to f(x).
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  2. #2
    MHF Contributor
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    Imagine that you supervise two teams who install pre-assembled bridge sections. Each team moves their section closer and closer to where it should be. You can tell each team a distance (say, 1 meter), and the team will notify you when their section is within this distance from the target.

    Now suppose that your supervisor requires the same from you: he/she tells you a distance and you have to notify him/her when both sections of the bridge are within this distance from the target. Upon receiving a distance, what is your strategy?
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