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MHT CET202313 May 2023Morning ShiftMathematicsLimitsActual

If f (x)=3 x¹⁰-7 x^8+5 x^6-21 x^3+3 x^2-7 , then _ 0 f(1- )-f(1) ^3+3 =

Options

  1. A53 3
  2. B-53 3
  3. C52 3
  4. D-52 3

Correct answer

A. 53 3

Step-by-step solution

aligned & f (x)=3 x¹⁰-7 x^8+5 x^6-21 x^3+3 x^2-7 & f ^ (x)=30 x^9-56 x^7+30 x^5-63 x^2+6 x & f ^ (1)=30-56+30-63+6=-53 aligned Now, _ 0 f(1- )-f(1) ^3+3 aligned & =- _ 0 f(1- )-f(1) (1- )-1 1 ^2+3 & =-f^ (1) 1 3 = 53 3 aligned

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