A function f such that f ´(a) = f ´´ (a) = ... f 2n (a) = 0 and f has a local maximum…

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

A function f such that f ´(a) = f ´´ (a) = ... f 2n (a) = 0 and f has a local maximum value b at x = a, if f (x) is
  1. (x – a)2n+2
  2. b –1 –(x +1 –a)2n+1
  3. b – (x – a)2n+2
  4. (x–a)2n+2 – b.

Answer

(C) b – (x – a) 2n+2

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