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Let f : [a, b] rarr R be a function such...

Let `f : [a, b] rarr R` be a function such that for `c in (a, b), f'(c) = f''(c) = f'''(c)= f^(iv) (c) = f^(v)(c) = 0`. Then a)f has a local extremum at x = c b)f has neither local maximum nor minimum at x = c c)f is necessarily a constant function d)it is difficult to say whether (a) or (b).

A

f has a local extremum at x = c

B

f has neither local maximum nor minimum at x = c

C

f is necessarily a constant function

D

it is difficult to say whether (a) or (b).

Text Solution

Verified by Experts

The correct Answer is:
D
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