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Speak With a Friendly Mentor. ###### Deepak Patra posted an Question
December 20, 2021 • 20:06 pm 30 points
• IIT JAM
• Mathematics (MA)

# (c) only if p=1 2. let f: r r be a continuous function such that for all x e r. f(xt) dx=0 ( () then (a) there is an f satisfying (*) that takes both positive a

(C) only if p=1 2. Let f: R R be a continuous function such that for all x e R. f(xt) dx=0 ( () then (a) There is an f satisfying (*) that takes both positive and negative values. (b) There is an f satisfying (*) that is 0 at infinitely many points, but is not identically zero. (c) f must be identically 0 on the whole of R (d) There is an f satisfying (*) that is identically 0 on (0, 1) but not identically 0 on the whole of R

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• ##### Anonymous User

a,b

but sir , its a question of mcq.

if t € R then option c if t any integers then A and B

how if t€R then f= 0 ???

only f(x)=0 for all x€R its integarl from zero to 1 is zero

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