For limit to exist, the numerator must have degree greater than or equal to denominator. Degree of denominator =3 ∴ For limit to exist, α−β=0 . . . (i) and α+
β
2
+γ=0 . . . (ii) Also, for terms greater than degree '3', gives 0 as x→0 ∴
α
2
−
β
3
−γ=10 . . . (iii) From Eq. (i), β=α From Eq. (ii), γ=(