/sci/ - Science & Math

>>9399672
You've proven wolfram alpha doesn't handle this question consistently, which is a different thing from proving 0.FFF... is greater than 0.999...
It looks to me like every additional iteration of the product of 9*10^-n and E*F^-n returns a number closer to 1.
27 / 32 = 0.84375
4347 / 5120 = 0.8490234375
695547 / 819200 = 0.84905639648
111287547 / 131072000 = 0.84905660247
17806007547 / 20971520000 = 0.84905660376
Can you tell me at what specific iteration this pattern will stop? When do the iterations of products suddenly stop getting closer to 1? After 1,000 iterations? 1,000,000 iterations?