求极限lim(x->无穷,( (1+tanx) /(1+sinx) ) ^(1/x^3) )

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求极限lim(x->无穷,((1+tanx)/(1+sinx))^(1/x^3))求极限lim(x->无穷,((1+tanx)/(1+sinx))^(1/x^3))求极限lim(x->无穷,((1+t

求极限lim(x->无穷,( (1+tanx) /(1+sinx) ) ^(1/x^3) )
求极限lim(x->无穷,( (1+tanx) /(1+sinx) ) ^(1/x^3) )

等价小替换：x→0,ln(1+x) ~ x,1-cosx ~ x²/2