确定常数a,b,使limx→1(x²+ax+b)/sin(x²-1)=3
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确定常数a,b,使limx→1(x²+ax+b)/sin(x²-1)=3确定常数a,b,使limx→1(x²+ax+b)/sin(x²-1)=3确定常数a,b,
确定常数a,b,使limx→1(x²+ax+b)/sin(x²-1)=3
确定常数a,b,使limx→1(x²+ax+b)/sin(x²-1)=3
确定常数a,b,使limx→1(x²+ax+b)/sin(x²-1)=3
limx→1(x²+ax+b)/sin(x²-1)
=limx→1(x²+ax+b)/(x²-1)
=3
∴ limx→1(x²+ax+b)=1+a+b=0
∴ a= -b-1
limx→1(x²+ax+b)/(x²-1)
=limx→1(x-b)/(x+1)
=(1-b)/2
=3
∴ b= -5,a=4