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Competitive Stats
Q3Section I (General (compulsory))3 of 180

A principal-value Mellin-type integral

The improper integral ∫0∞xs−11−xdx\displaystyle\int_0^\infty\frac{x^{s-1}}{1-x}dx is convergent (as a Cauchy principal value, since the integrand has a singularity at x=1x=1) if and only if:

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