Polytechnic Trb 2017 Solution Pg

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Polytechnic-TRB- 2017 solution ||Real Analysis question-1 || PG TRB|| Tamil Profile
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1. For α greater than 0, lim x→∞ x^(−α )log(x) = A)1 B)0 C) − 1 D)∞ --------------------------------------------------------------------- 11. Let f(x) = 1/(x−1) defined on (0, 1). Then f is : A) not continuous on (0,1) B) unbounded C) bounded. D) uniformly continuous. 6. The continuous mapping of a compact metric space X into R is A) one to one B) bounded C) onto D) bijective ... 7. By the Archimedean property of R if x ∈ R, y ∈ R and x greater than 0 then there is a positive integer n such that : A) nx greater ... 4. If f ∈ R(α1) and f ∈ R(α2) then : A) f ∈ R(α1α2) ...... ---------------------------------------------------------------------------- 8. The product of two convergent series converges if A) One of the two series converges to 0. B) One of the two series ...

9) The function f(x) = 1 x − rational 0 x − irrational is : A) discontinuous of the first kind B) discontinuous of the second kind C) ... 10. If f is defined for all real x and if f (x) − f (y) ≤ (x − y)^2 for all x and y then f is : A) one to one B) constant C) onto D) ... 5. Given two sequence {an}, {bn} and..... --------------------------------------------------------------------------------

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Last Updated: June 10, 2026

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