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avatarKindRuby6284
Postsecondaire • 2a

why does the sum from 1 to infinity of arctan(14n) converge? How do I prove it

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      avatarCitrineCandide143teacher check
      Équipe Alloprof • 2a

      Hi KindRuby6284,

      Thanks for using our services!

      When n becomes a number between 1 and infinity, it will always give an angle between -pi/2 and pi/2. So, if you add together all this number, you will get a number and not infinity. The sum will converge.

      Hope this help!

      Lea-Kim

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