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AP EAMCET2007MathematicsQuadratic Equation

1 2 - 1 2 2^2 + 1 3 2^3 - 1 4 2^4 + is equal to

Options

  1. A1 4
  2. B₃ ( 3 4 )
  3. C_e ( 3 2 )
  4. D_e ( 2 3 )

Correct answer

C. _e ( 3 2 )

Step-by-step solution

Given, 1 2 - 1 2 2^2 + 1 3 2^3 - 1 4 2^4 + On Comparing with _e(1+x)=x- x^2 2 + x^3 3 - x^4 4 + Put x= 1 2 on both sides, we get aligned 1 2 - 1 2 2^2 + 1 3 2^3 - 1 4 2^4 + & = _e (1+ 1 2 ) & = _e ( 3 2 ) aligned

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