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###### 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.

Why global minimum is not exist?

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

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

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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