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Omni-MATH / Let p be a real number and c≠0 an integer such that c−0.1<x^(p)((1−(1+x)¹⁰)/(1+(1+x)¹⁰))<c+0.1 for all (positive) real numbers x with 0<x<10^(−100). Find the ordered pair (p,c). · Discussion

Discussing Let p be a real number and c≠0 an integer such that c−0.1<x^(p)((1−(1+x)¹⁰)/(1+(1+x)¹⁰))<c+0.1 for all (positive) real numbers x with 0<x<10^(−100). Find the ordered pair (p,c). · Omni-MATH

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