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By life, do you mean the life you have created in the game? If so, then your question is difficult to answer, because if you define productivity as the number of tasks completed over a certain interval, then the value of the productivity would become indeterminate (as there are no tasks which you could complete and no interval of time in which such tasks could be completed, \frac{0}{0}). If you took the limit of the productivity, using L'Hopital's rule, you would find that productivity at zero life is only slightly greater than productivity around it. So, you would have to judge this yourself, depending on how productive you currently are.

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