问题标题:
【lim(x→0)[(2x)/(1+x^2)]/secxtanx+silim(x→0)[(2x)/(1+x^2)]/secxtanx+sinx怎么算出lim(x→0)(x/sinx)(cosx^2/1+cosx^2)(2/1+x^2)】
更新时间:2024-05-05 02:41:33
问题描述:

lim(x→0)[(2x)/(1+x^2)]/secxtanx+si

lim(x→0)[(2x)/(1+x^2)]/secxtanx+sinx怎么算出lim(x→0)(x/sinx)(cosx^2/1+cosx^2)(2/1+x^2)

蒋漪涟回答:
  就化简一下就可以了lim(x→0)[(2x)/(1+x^2)]/(secxtanx+sinx)=lim(x→0)[(2x)/(1+x^2)]/(sinx/cosx^2+sinx)=lim(x→0)2/(1+x^2)*x*cosx^2/(sinx+sinx*cosx^2)=lim(x→0)x/sinx*cosx^...
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