1. Set Q of the all rational numbers is

2. (Q, +, .) is

3. Every infinite sequence in a compact metric space has a subsequence which

4. Every non empty bounded set of real numbers has a infimum . This property is referred to as

5. what is supremum and infimum of R is

6. For every closed subset of R , the real line is

7. A continuous function from bounded [a , b] to R

8. Every subset of a finite set is

9. If function is Reimanns integrable on [ a, b] then function must be

10. {} is

11. The signm function is not continuous at

12. Natural Numbers are

13. Real number system consist of

14. Every superset of an infinite set is

15. The function f(x)= x + 1/x is uniformly continuous on

16. The greatest lower bound of a set

17. If f is contractive then f is

18. Which of the following has not multiplicative inverse

19. If least upper bound exists  then it is

20. If f is differentiable in [ a, b] then it is monotonically decreasing if

21. which function is continuous everywhere

22. Cauchy sequence of real numbers is

23. The sequence of real numbers is ________ if and only if it is cauchy sequence.

24. No polynomial of degree _________ is Lipschitzian on R .

25. Let S be a set of real numbers. Then S has a supremum if S has

26. Every pair of real numbers a and b satisfied the following conditions a >  b, a = b, a < b . This property known as

27. The set of real number can be denoted as

28. Every bounded sequence has a subsequence which

29. Supremum and infimum of an empty set is

30. A sequence is a function whose domain is

31. The set of all real transcendental numbers is

32. The set of negative integers is

33. The set of all ___________ numbers form a sequence.

34. which series is divergent series

35. which of the following statements is not correct ?

36. If f'(x) exists then it is constant function

37. The converse of Cauchy integral theorem is known as

38. If f is real valued and monotonic on [a , b] then f is

39. If  then

40. Set of natural number is

41. If g.l.b of a set belong to the set then

42. The set of all real algebric numbers is

43. Set of numbers which have ordered fields

44. Bounded monotonic sequence will be decreasing if it converges to its

45. In a complete metric space

46. If S={1\n | n £ N } the g.l.b of S is

47.  converges to limit

48. Sup (X) =

49. If L is the tangent line to a function f at x = a then

50. Supremum and infimum of 

51. Every constant sequence is

52. which of the following is not countable set

53. A metric (X,d) is complete if every cauchy sequence in X

54. If f is differentiable at x ε [ a, b] then f at x is

55. If a sequence is unbounded or it does not converge then this sequence is called

56. An improper Reimann Integral can without infinite

57. Natural numbers and integers are

58. If a function is strictly monotone then It is

59. A convergent sequence converges to

60. Bounded monotonic sequence will be increasing if it converges to its

61. The intersection of two infinite sets is

62. (-∞)+(+∞)=

63. If there exists a bijection of N onto S then set is known as

64. If we have an inflection point x = a then

65. If f is differentiable in [ a, b] then it is monotonically increasing if

66. A sequence is said to be divergent if it is

67. For two real numbers x and y with x > 0 , there exist a natural number n s.t

68. An improper Reimann Integral can without infinite

69. The range of sequence