Is it not divergent?

\[\large S=\sum _{ x=1 }^{ \infty } \left( 2^{1/x^2 } - 2^{ 1/x^3 } \right) \]

Find \(\left\lfloor 100S \right\rfloor\).

Details and Assumptions

If you believe that the sum is divergent, put zero as your answer.


This problem is original.
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