放缩法是依据不等式的传递性证明不等式的一种技巧,应用较多,本文列举了几种放缩方法介绍如下。 (一)应用实数大小关系放缩解1 求证1/1!+1/2!+1/3!+…+1/n!<2。证明 1/k!=1/1·2·3…k<1/1·2·2…2=1/2~(k-1) (对于正分数,把分母换小,可使分数放大。) 令k=1,2,3,…,n,得n个不等式相加, Scaling method is a technique to prove inequality based on the transitivity of inequality. It is used in many ways. This article lists several methods of scaling and reduction as follows. (a) Apply the real-size relationship to shrink solution 1 Verify 1/1!+1/2!+1/3!+...+1/n!<2. It is proved that 1/k!=1/1·2·3...k<1/1·2·2...2=1/2~(k−1) (For a positive score, the denominator is reduced, and the score can be enlarged. Let k=1,2,3,...,n, add n inequalities,