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Deepak Patra posted an Question
December 21, 2021 • 18:45 pm 30 points
  • IIT JAM
  • Mathematics (MA)

(c) all real roots are positive 40. letf:r> r be a function with the property that for every y e r. the value of the expression sup xy -f(x)] is finite. define

(c) all real roots are positive 40. Letf:R> R be a function with the property that for every y e R. The value of the expression sup xy -f(x)] is finite. Define g(y) = sup [xy -f(x)] for y e R. Then (b) g is odd if f is even xeR XER (a) f must satisfy, lim =+ 00 x X f(X)+ fX) (d) f must satisfy lim -o b x x (c) g is even if f is even

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