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This hypothesis is right about operators on convergent and divergent series?

  1. Nov 28, 2015 #1
    Sorry for the bad English , do not speak the language very well.
    I posted this to know if the statement or " hypothesis " is correct .

    thank you very much =D.

    First Image:https://gyazo.com/7248311481c1273491db7d3608a5c48e [Broken]
    Second Image:https://gyazo.com/d8fc52d0c99e0094a6a6fa7d0e5273b6 [Broken]
    Third Image:https://gyazo.com/035813f059d3eb7bb4131af7cd8f29c3 [Broken]
     
    Last edited by a moderator: May 7, 2017
  2. jcsd
  3. Nov 28, 2015 #2

    micromass

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    No, it isn't correct. Learn about convergent and divergent series, and which operations are allowed on them. You need to be very careful with convergence issues.
     
  4. Nov 28, 2015 #3
    the error is on the part of the two match series with a formula? ( image 2 )
     
  5. Nov 28, 2015 #4

    micromass

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    The error is assuming the series converges and thus can be treated as real numbers instead of infinity.
     
  6. Nov 28, 2015 #5
    thanks
     
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