lim(x→0)(sin5x)/x=?
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解决时间 2021-04-19 16:15
- 提问者网友：半生酒醒
- 2021-04-19 00:38
lim(x→0)(sin5x)/x=?
最佳答案
- 五星知识达人网友：第四晚心情
- 2021-04-19 00:55
lim(x→0)(sin5x)/x
=lim(x-->0)5(sin5x/(5x)
=5lim(x-->0)(sin5x)/(5x)
=5*1
=5
=lim(x-->0)5(sin5x/(5x)
=5lim(x-->0)(sin5x)/(5x)
=5*1
=5
全部回答
- 1楼网友：英雄的欲望
- 2021-04-19 03:55
无穷小代换
lim(x→0)(sinx)/x=1
那么同理
lim(x→0)(sin5x)/x
=lim(x-->0)5(sin5x/(5x)
=5lim(x-->0)(sin5x)/(5x)
=5*1
=5
lim(x→0)(sinx)/x=1
那么同理
lim(x→0)(sin5x)/x
=lim(x-->0)5(sin5x/(5x)
=5lim(x-->0)(sin5x)/(5x)
=5*1
=5
- 2楼网友：山河有幸埋战骨
- 2021-04-19 02:29
lim(x→0)(sin5x)/x
= lim(x→0) (sin5x) / (5x/5)
= 5 lim(x→0)(sin5x) /(5x)
= 5
= lim(x→0) (sin5x) / (5x/5)
= 5 lim(x→0)(sin5x) /(5x)
= 5
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