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

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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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.

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 )

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.

The error is assuming the series converges and thus can be treated as real numbers instead of infinity.
thanks