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Q: Simplify with "much less" assumptions


Hello, everybody,

I have one question regarding simplify answer with assumptions. For 
example, I have "1+x^2". The assumptions is  x is much much less than 1. 
Therefore x^2 can be neglected under the above assumption. What I get 
after simplification should be "1" only. Can anybody tell me how do this 
in Mathematica? It seems there is no "much less" or "much greater" 
symbol in Mathematica. Thank you all.

Heather



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