lim(sin3x/x^3+a/x^2)=b (x趋于0) 求a,b
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lim(sin3x/x^3+a/x^2)=b(x趋于0)求a,blim(sin3x/x^3+a/x^2)=b(x趋于0)求a,blim(sin3x/x^3+a/x^2)=b(x趋于0)求a,blim(
lim(sin3x/x^3+a/x^2)=b (x趋于0) 求a,b
lim(sin3x/x^3+a/x^2)=b (x趋于0) 求a,b
lim(sin3x/x^3+a/x^2)=b (x趋于0) 求a,b
lim(x→0)(sin3x/x^3+a/x^2)
=lim(x→0)(sin3x-ax)/x^3 (0/0)
=lim(x→0)(3cos3x-a)/(3x^2)
因为极限存在,所以3cos3x-a=0
a=3
=lim(x→0)(cos3x-1)/(x^2)
=lim(x→0)[(3x)^2/2]/(x^2)
=9/2=b
lim(sin3x/x^3+a/x^2)=b (x趋于0) 求a,b
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