Is it not divergent?

Computer Science Level 4

S=∑x=1∞(21/x2−21/x3)\large S=\sum _{ x=1 }^{ \infty } \left( 2^{1/x^2 } - 2^{ 1/x^3 } \right)

Find ⌊100S⌋\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.
Jonas Katona by Jonas Katona
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