Mathematics Tripos Papers

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1.I .3 F. 3 \mathrm{~F} \quad.3 F

Analysis I | Part IA, 2008

State the ratio test for the convergence of a series.

Find all real numbers xxx such that the series

∑n=1∞xn−1n\sum_{n=1}^{\infty} \frac{x^{n}-1}{n}n=1∑∞​nxn−1​

converges.

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