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

  • Thread starter MAGNIBORO
  • Start date
  • #1
107
26
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]
 
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Answers and Replies

  • #2
22,089
3,291
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.
 
  • #3
107
26
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.
the error is on the part of the two match series with a formula? ( image 2 )
 
  • #4
22,089
3,291
the error is on the part of the two match series with a formula? ( image 2 )
The error is assuming the series converges and thus can be treated as real numbers instead of infinity.
 
  • #5
107
26
The error is assuming the series converges and thus can be treated as real numbers instead of infinity.
thanks
 

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