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Deepak Patra posted an Question
January 31, 2022 • 16:49 pm 30 points
  • IIT JAM
  • Mathematics (MA)

Q.31 let f be a real-valued function defined on the interval (0, oo) by flz) = inz + v1+ sin tdt. then which of the following statement(s) is (are) true? (a)f)

Q.31 Let f be a real-valued function defined on the interval (0, oo) by flz) = Inz + V1+ sin tdt. Then which of the following statement(s) is (are) true? (a)f) exists for all x E (0, o) (b)f'(x) exists for all x e (0,co) andf' is continuous on (0, oo) but not differentiable on (0, oo) (c) There exists a > 1 such that |f"(x)l< f*)| for all x E (a, oo) d) There exists>0 such that |f(x)]+ If«)| sß for allx E (0,00)

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