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Math Help - what is the radius of convergence of the power series when an is given as

  1. #1
    Junior Member sorv1986's Avatar
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    Cool what is the radius of convergence of the power series when an is given as

    what is the radius of convergence of the power series Σan xⁿ, where

    a0=1, ,2<= |an| <= 3 for all n>=1 ?


    regards. thanx in advance.
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Re: what is the radius of convergence of the power series when an is given as

    Quote Originally Posted by sorv1986 View Post
    what is the radius of convergence of the power series Σan xⁿ, where a0=1, ,2<= |an| <= 3 for all n>=1 ?
    Hint : 1=\limsup \sqrt[n]{2}\leq \limsup \sqrt[n]{|a_n|}\leq \limsup \sqrt[n]{3}=1
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  3. #3
    Junior Member sorv1986's Avatar
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    Re: what is the radius of convergence of the power series when an is given as

    Thanks a lot.@fernando
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