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If = 1 x(x2+x+1), = x x2+x+1 and = (x-3+x-2+x-1 )1/2, 0<A, B, C< 2, then A+B is equal to :
(1) C
Let p=x2+x+1 (x>0)
+ = 1+x xp, = 1p
(A+B)= 1+x xp pp-1= (1+x) p xp x(x+1)
= px x
= 1+x+x2x3= px x= (A+B)
∵ <1 0<A+B< 2, where tan is one-one
A+B=C
Answer: (1)
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