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Postsecondary • 1yr.

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

Mathematics
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Explanations (1)

  • Explanation from Alloprof

    Explanation from Alloprof

    This Explanation was submitted by a member of the Alloprof team.

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    Team Alloprof • 1yr.

    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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