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Question

1+1/2+1/3+...+1/1023 


Solution

The series 1/1 +1/2 +1/3+……………….+1/n

converges to log n.

Hence the answer is log n.

so for the series 

1+1/2+1/3+...+1/1023 

the answer will be log 1023 = 3.0098

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