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This is something I'm pretty adamant about, so I have to bring this up. In Definition 8.3.12, we define the limit of a series (a number), and then turn around and define an infinite series to be that number.
I will draft a PR on Monday to clarify the definition of a series as a pair of sequences and create a Remark about common uses (and abuses) of series notation. This change might require some modifications to the rest of the section to improve the flow.
The text was updated successfully, but these errors were encountered:
Hm - my personal formaliation of a series is that it's a property of a sequence: the limit of its partial sums. I'm interested to see what your approach is.
This is something I'm pretty adamant about, so I have to bring this up. In Definition 8.3.12, we define the limit of a series (a number), and then turn around and define an infinite series to be that number.
I will draft a PR on Monday to clarify the definition of a series as a pair of sequences and create a Remark about common uses (and abuses) of series notation. This change might require some modifications to the rest of the section to improve the flow.
The text was updated successfully, but these errors were encountered: