![lim x→0 x(e^2x-1)(tgx)^2 lim x→0 (tanx-sinx)(sin3x)^2 lim x→0 ln(1-3x^2)2xsin3x,第1張 lim x→0 x(e^2x-1)(tgx)^2 lim x→0 (tanx-sinx)(sin3x)^2 lim x→0 ln(1-3x^2)2xsin3x,第1張](data:image/gif;base64,R0lGODlhAQABAAAAACH5BAEKAAEALAAAAAABAAEAAAICTAEAOw==)
lim x→0 x(e^2x-1)/(tgx)^2 lim x→0 (tanx-sinx)/(sin3x)^2 lim x→0 ln(1-3x^2)/2xsin3x網友廻答:
- lim (x(e^(2x)-1))/(tgx)^2 = lim((e^(2x)-1)/x)/(tgx/x)^2=2/(1)^2=2
lim x→0 ln(1-3x^2)/2xsin3x=-6x/(1-3x^2)/(2sin3x 6xcos3x)=-6/(1-3x^2)[1/(6cos3x 6cos3x-18xsin3x)]=-6/12=-1/2
lim x→0 (tanx-sinx)/(sin3x)^2=(sec^2 x-cosx)/3(sin6x)=[2 secx tgx secx sinx]/18cos6x=0
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