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4. If f ∈ R(α1) and f ∈ R(α2) then : A) f ∈ R(α1α2) ...... ---------------------------------------------------------------------------- 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 ... 1. For α greater than 0, lim x→∞ x^(−α )log(x) = A)1 B)0 C) − 1 D)∞ --------------------------------------------------------------------- 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 ... Hi, Friends This is V. Kanchana Radhakrishnan here. Each and Every concept will be explained clearly from the basics.

8. The product of two convergent series converges if A) One of the two series converges to 0. B) One of the two series ... 5. Given two sequence {an}, {bn} and..... --------------------------------------------------------------------------------

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