Convergence to zero of a specific infinite product











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Maybe less ambitious but I would be happy to prove the following. I have tried but without success.



Thanks for any help






infinite-product







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    up vote
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    enter image description here



    Maybe less ambitious but I would be happy to prove the following. I have tried but without success.



    Thanks for any help






    infinite-product







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      up vote
      0
      down vote

      favorite









      up vote
      0
      down vote

      favorite











      enter image description here



      Maybe less ambitious but I would be happy to prove the following. I have tried but without success.



      Thanks for any help






      infinite-product







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      enter image description here



      Maybe less ambitious but I would be happy to prove the following. I have tried but without success.



      Thanks for any help






      infinite-product




      infinite-product






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      asked 3 hours ago









      Gianfranco OLDANI

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          Hint:
          $$ lim_{n to infty} (1-1/n)^n = 1/e$$
          What does this tell you about the limit of $(1-1/n)^{8n+4}$?






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            1 Answer
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            1 Answer
            1






            active

            oldest

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            active

            oldest

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            active

            oldest

            votes








            up vote
            0
            down vote













            Hint:
            $$ lim_{n to infty} (1-1/n)^n = 1/e$$
            What does this tell you about the limit of $(1-1/n)^{8n+4}$?






            share|cite|improve this answer

























              up vote
              0
              down vote













              Hint:
              $$ lim_{n to infty} (1-1/n)^n = 1/e$$
              What does this tell you about the limit of $(1-1/n)^{8n+4}$?






              share|cite|improve this answer























                up vote
                0
                down vote










                up vote
                0
                down vote









                Hint:
                $$ lim_{n to infty} (1-1/n)^n = 1/e$$
                What does this tell you about the limit of $(1-1/n)^{8n+4}$?






                share|cite|improve this answer












                Hint:
                $$ lim_{n to infty} (1-1/n)^n = 1/e$$
                What does this tell you about the limit of $(1-1/n)^{8n+4}$?







                share|cite|improve this answer












                share|cite|improve this answer



                share|cite|improve this answer










                answered 3 hours ago









                Robert Israel

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