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

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