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在微积分极限部分的教学过程中,有两个重要的极限,分别是:lim(sin(x)/x) x→0=1和lim(cos(x)/x) x→0=0。笔者发现,在北美的教科书中,对于lim(sin(x)/x) x→0=1的证明一般局限于用sandwich theorem(极
There are two important limits to the teaching of the calculus limit: lim (sin (x) / x) x → 0 = 1 and lim (cos (x) / x) x → 0 = 0. The author found that in North American textbooks, the proof of lim (sin (x) / x) x → 0 = 1 is generally limited to using the sandwich theorem