lim((sin2x/x^3)+a+(b/x^2))=2/3(x->0)设lim((sin2x/x^3)+a+(b/x^2))=2/3(x->0),求a,b的值.

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lim((sin2x/x^3)+a+(b/x^2))=2/3(x->0)设lim((sin2x/x^3)+a+(b/x^2))=2/3(x->0),求a,b的值.
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lim((sin2x/x^3)+a+(b/x^2))=2/3(x->0)设lim((sin2x/x^3)+a+(b/x^2))=2/3(x->0),求a,b的值.
lim((sin2x/x^3)+a+(b/x^2))=2/3(x->0)

设lim((sin2x/x^3)+a+(b/x^2))=2/3(x->0),求a,b的值.

lim((sin2x/x^3)+a+(b/x^2))=2/3(x->0)设lim((sin2x/x^3)+a+(b/x^2))=2/3(x->0),求a,b的值.

sin2x/x^3+b/x^2=(sin2x+bx)/(x^3);
x--->0时,lim((sin2x+bx)/(x^3))=lim((2cos2x+b)/(3x^2));由于分子趋近于2+b,分母趋近于0;要使它有极限,那么2+b=0; b=-2;
所以a=2/3-lim((sin2x-2x)/x^3)=2