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JEE Main20254 Apr 2025Morning ShiftMathematicsLimitsActual

If _ x 1⁺ (x-1)(6+ (x-1))+ (1-x) (x-1)^3 =-1 , where , R , then + is equal to

Options

  1. A18
  2. B20
  3. C19
  4. D17

Correct answer

A. 18

Step-by-step solution

aligned & Put x=1+h & _ h 0 h(6+ )- h^3 =-1 & _ h 0 h (6+ (1- h^2 2! ) )- (h- h^3 3! ) h^3 =-1 & 6+ - =0 and - 2 + 6 =-1 & + =18 aligned

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