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二项式定理是高中数学中很重要的一部分内容,它的应用范围非常广泛,用法非常灵活.证明与n(n∈N)次方有关的不等式是其重要用途之一,这里略举几例供大家参考.例1求证:2<(1+1/n)~n<3(n∈N,n≥2).分析这是一道与n(n∈N)次方有关的不等式证明
The binomial theorem is a very important part of high school mathematics. It has a wide range of applications and is very flexible in usage. Proving that the inequality associated with the n(n∈N) power is one of its important uses. Here are a few examples. For your reference. Example 1 Proof: 2<(1+1/n)~n<3(n∈N,n≥2). Analysis This is a proof of inequality associated with n(n∈N) power.