Shwet Goyal posted an Question
December 04, 2021 • 13:23 pm 30 points
  • IIT JAM
  • Mathematics (MA)

If there exists a neighbourh0od n(c, 8) of c such that f(c) s fx) for all x e n(c, 8) ni. then a (b) has local minimumn f has either a local maximum or local mi

If there exists a neighbourh0od N(c, 8) of c such that f(c) s fx) for all x e N(c, 8) NI. Then A (B) has local minimumn f has either a local maximum or local minimum f has local maximum (C) f has a global minimum (D)

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    Kanika goswami 1

    check attachment.

    cropped4258558560724161206.jpg
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    Why global minimum is not exist?

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    think about oscillate function......here we have not given that function is monotonic.....so we can't say global minimum.....ok

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    In the book, the answer given is A,B,C

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    then there is mistake in book bcz if maximum at c then f(c) can't less any point of its nbd....

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