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Thanks for the quick resolve and special thanks for this kata :-)
The extension to negative integers is not fully explained in the instructions. Unless the "research" on external resources are part of the kata, these rules should be clearly explained.
In every recursion loop you round series sum to 2 digits and use the rounded part for further calculations. This error adds up quickly.
For N = 6 your solution is "1.70" (1.6955555 ..) while the correct solution is "1.69" (1.692002 ..).