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JEE Main20252 Apr 2025Morning ShiftMathematicsLimitsActual

For , , , R , if _ x 0 x^2 x+( -1) e^ x^2 2 x- x =3 , then + - is equal to:

Options

  1. A7
  2. B4
  3. C6
  4. D-1

Correct answer

A. 7

Step-by-step solution

aligned & _ x 10 x^2( x)+( -1) (1+ x^2 1 ) 2 x- 8 x^3 6 - x =3 & _ x 0 ( -1)+( -1) x^2+ x^3 (2- ) x- 4 3 x^3 =3 & -1, =2, -3 4 =+3 =-4 & + - =7 aligned

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