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

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