Evaluate:
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Let ![]()
Now putting, ![]()
A(x-1)2+B(x-3)(x-1)+C(x-3)=x2+1
Putting x-1=0,
X=1
A(0)+B(0)+C(1-3)=1+1
C=-1
Putting x-3=0,
X=3
A(3-1)2+B(0)+C(0)=9+1
A(4)=10
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Equating the coefficient of x2
A+B=1
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From (i)![]()
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