Question about series expansion in “30 years that shook physics”

sequences-and-seriestaylor expansion

I am currently reading "30 years that shook physics" (https://www.goodreads.com/book/show/17265.Thirty_Years_that_Shook_Physics) and on page 159 found the following series:

Page 159, 30 years that shook physics

Tell me I am not crazy and the text is wrong and the series should evaluate to e and sin(1)? 2.3026 is log(x)/ln(x), and how you would get 0 in the second I don't know.

Best Answer

You are perfectly right! I guess something went wrong in the editing of this beautiful book written by George Gamow. This is the same page from the italian version with the correct values:enter image description here

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