lim(x->0) (tan x-sin x)/√(2+x^2)(e^(x^3)-1)√(2+x^2) (根号只有这部分) wxrong87:答案是错的...而且,abc52406:答案还是不对的...lim(x->0) (e^(x^3)-1)=lim(x->0) x^3 (e^(x^3)-1)不等于x^3
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![lim(x->0) (tan x-sin x)/√(2+x^2)(e^(x^3)-1)√(2+x^2) (根号只有这部分) wxrong87:答案是错的...而且,abc52406:答案还是不对的...lim(x->0) (e^(x^3)-1)=lim(x->0) x^3 (e^(x^3)-1)不等于x^3](/uploads/image/z/2095526-38-6.jpg?t=lim%28x-%3E0%29+%28tan+x-sin+x%29%2F%E2%88%9A%282%2Bx%5E2%29%28e%5E%28x%5E3%29-1%29%E2%88%9A%282%2Bx%5E2%29+%EF%BC%88%E6%A0%B9%E5%8F%B7%E5%8F%AA%E6%9C%89%E8%BF%99%E9%83%A8%E5%88%86%EF%BC%89+wxrong87%EF%BC%9A%E7%AD%94%E6%A1%88%E6%98%AF%E9%94%99%E7%9A%84...%E8%80%8C%E4%B8%94%EF%BC%8Cabc52406%EF%BC%9A%E7%AD%94%E6%A1%88%E8%BF%98%E6%98%AF%E4%B8%8D%E5%AF%B9%E7%9A%84...lim%28x-%3E0%29+%28e%5E%28x%5E3%29-1%29%3Dlim%28x-%3E0%29+x%5E3+%28e%5E%28x%5E3%29-1%29%E4%B8%8D%E7%AD%89%E4%BA%8Ex%5E3)
lim(x->0) (tan x-sin x)/√(2+x^2)(e^(x^3)-1)√(2+x^2) (根号只有这部分) wxrong87:答案是错的...而且,abc52406:答案还是不对的...lim(x->0) (e^(x^3)-1)=lim(x->0) x^3 (e^(x^3)-1)不等于x^3
lim(x->0) (tan x-sin x)/√(2+x^2)(e^(x^3)-1)
√(2+x^2) (根号只有这部分)
wxrong87:答案是错的...而且,
abc52406:答案还是不对的...lim(x->0) (e^(x^3)-1)=lim(x->0) x^3 (e^(x^3)-1)不等于x^3
lim(x->0) (tan x-sin x)/√(2+x^2)(e^(x^3)-1)√(2+x^2) (根号只有这部分) wxrong87:答案是错的...而且,abc52406:答案还是不对的...lim(x->0) (e^(x^3)-1)=lim(x->0) x^3 (e^(x^3)-1)不等于x^3
lim(x->0) (e^x-1)=lim(x->0) x
所以lim(x->0) (e^(x^3)-1)=lim(x->0) x^3
lim(x->0) (tan x-sin x)=lim(x->0) sinx(1-cosx)/cosx
=lim(x->0) sinx*2[sin(x/2)]^2=lim(x->0) x*x^2/2=lim(x->0) x^3/2
(以上是利用无穷小量等价代换计算的结果,拆开来写看起来清楚)
lim(x->0) (tan x-sin x)/√(2+x^2)(e^(x^3)-1)
=lim(x->0) x^3/[(√2)*(x^3)/2]=(√2)/4
2根号/12
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