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MHT CET2007MathematicsLimits

The value of _ x 0 ( x)- x x⁴ is equal to

Options

  1. A1 / 5
  2. B1 / 6
  3. C1 / 4
  4. D1 / 2

Correct answer

B. 1 / 6

Step-by-step solution

array l _ x 0 ( x)- x x⁴ = _ x 0 2 ( x+ x 2 ) ( x- x 2 ) x⁴ =2 _ x 0 [ ( x+ x 2 ) ( x+ x 2 ) ( x- x 2 ) ( x- x 2 ) . . ( x+ x 2 x ) ( x- x 2 x³ ) ] =2 _ x 0 [ ( x+ x 2 ) x+ x 2 ( x- x 2 ) x- x 2 . = _ x 0 x- x x³ = _ x 0 x- (x- x³ 3 ! + x⁵ 5 ! - ) x³ = _ x 0 ( 1 3 ! - x² 5 ! + )= 1 6 array

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