然后给出判定无穷多个无穷小之积是无穷小的两个定理。
Then two theorems are given for judging a product of infinite infinitesimals being an infinitesimal.
推论1常数与无穷小的乘积是无穷小。
Corollary 1 The product of a constant and an infinitesimal is an infinitesimal.
推论1常数与无穷小的乘积是无穷小。
Theorem 2 The product of a bounded function and an infinitesimal is an infinitesimal.
infinitesimal interval of time not yet 0.
不为零的无穷小时间间隔
So, the point is whenever you have derivatives with something over dt, do not hesitate to cancel the dts This will be actually true as long as both quantities are vanishingly small.
关键在于,只要你推出的式子分母上有dt,不要犹豫,直接约掉,这个式子只在,两遍都是无穷小的情况下成立
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