[考题] 微积分罗毕达定理

楼主: tiffany0358 (Tiffany)   2015-08-13 16:34:01
大家好 请问
4 z
lim (z-π)
作者: CNY426W (人民币426万)   2015-08-13 16:52:00
分母应该是sin(z-π)的4次方吧 ...
作者: loveyou999 (lovelovelove)   2015-08-13 17:20:00
let x=z-pi变成 lim(x->0)x^4/(sinx)^4*(x+pi)=1*pi(sin(x+pi))^4=(-sin(x))^4=(sinx)^4
楼主: tiffany0358 (Tiffany)   2015-08-14 12:35:00
还是看不太懂 因为还是要罗好几次 不过谢谢~要罗5次才有答案耶~~
作者: goshfju (Cola)   2015-08-14 14:25:00
为何你坚持要用L'HospitalHint: sinx/x->1 as x->0

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