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    Point Wise Limit Function

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    Determine whether each of the following sequences of functions converges pointwise. If so determine if the convergence is uniform.

    See attachment for clarity.

    (i.) fn(x) =9 for x E [0, 1].
    (ii.) fn(x) = 9(1-x) for x [0, 1].
    (iii.) fn(x) = 9(1- 9) for x [0, 1].

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    Solution Summary

    The point wise limit function is achieved.