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eulermac - Euler-Maclaurin summation
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Calling Sequence
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eulermac(expr, x) or eulermac(expr, x = a..b)
eulermac(expr, x, n) or eulermac(expr, x = a..b, n)
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Parameters
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expr
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expression in x
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x
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independent variable
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a, b
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interval over which the approximation to the sum is computed
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n
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(optional) integer (degree of summation)
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Description
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The forms eulermac(expr, x) and eulermac(expr, x, n) compute asymptotic approximations to sum(expr, x). If F(x) = eulermac(f(x), x), then  is asymptotically equivalent to f(x). The order of the approximation is specified by n, and defaults to Order - 1.
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The forms eulermac(expr, x=a..b) and eulermac(expr, x=a..b, n) compute nth degree Euler-Maclaurin summation formulas for expr (thus n terms of the expansion are given). If n is not specified, it is assumed to be Order - 1.
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Examples
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