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AP EAMCET202423 May 2024Morning ShiftMathematicsLimitsActual

If f(x)= array cl 1+ 2 x a , & 0 x 1 a x, & 1 x 2 array . . If _ x 1 f(x) exists then the sum of the cubes of the possible values of a is

Options

  1. A1
  2. B5
  3. C7
  4. D9

Correct answer

C. 7

Step-by-step solution

_ x 1 f(x) exists _ x 1⁻ f(x)= _ x 1⁺ f(x) 1+ 2 a =a a^2-a-2=0 a=-1,2 Sum of the cubes =(-1)^3+(2)^3=-1+8=7 .

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