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    Interval of convergence

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    Find the interval of convergence of (a) f(x), (b) f'(x), (c) f''(x), (d) {f(x)dx

    En=1 [(-1)^n+1 (x-2)^n ] / 2

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    Solution Preview

    Solution. I guess your question is to find the interval of the series with power function term. Is the general term as follows?

    I answer your question if Fn(x) is of the form above.

    The series F1(x)+F2(x)+...+Fn(x)+...


    Solution Summary

    An interval of convergence is found.