Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 1, Section I, D

Analysis I | Part IA, 2011

Find the radius of convergence of each of the following power series. (i) ∑n⩾1n2zn\sum_{n \geqslant 1} n^{2} z^{n}∑n⩾1​n2zn (ii) ∑n⩾1nn1/3zn\sum_{n \geqslant 1} n^{n^{1 / 3}} z^{n}∑n⩾1​nn1/3zn

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