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Math Help - Continuity - Find the largest value of c?

  1. #1
    Super Member fardeen_gen's Avatar
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    Continuity - Find the largest value of c?

    Let f_n(x) = \cos^n x
    and g(x) = \lim_{n\rightarrow \infty} \sum_{k = 0}^{n} \left(\frac{x}{4}\right)

    If g(x) is continuous in (0,c) then find the largest value of c.
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  2. #2
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    The summation needs correcting - there's nothing depending on k.
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