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

2. Set Q of the all rational numbers is

3. {} is

4. which of the following is not countable set

5. The set of all real transcendental numbers is

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

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

8. The set of negative integers is

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

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

11. (Q, +, .) is

12. which function is continuous everywhere

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

14. If  then

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

16. An improper Reimann Integral can without infinite

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

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

19. If f is contractive then f is

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

21. Cauchy sequence of real numbers is

22. Which of the following has not multiplicative inverse

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

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

25. what is supremum and infimum of R is

26. The signm function is not continuous at

27. An improper Reimann Integral can without infinite

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

29. Natural Numbers are

30. (-∞)+(+∞)=

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

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

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

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

35. Supremum and infimum of an empty set is

36.  converges to limit

37. Set of natural number is

38. The converse of Cauchy integral theorem is known as

39. Every subset of a finite set is

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

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

42. The greatest lower bound of a set

43. Real number system consist of

44. Every constant sequence is

45. Supremum and infimum of 

46. The set of real number can be denoted as

47. which of the following statements is not correct ?

48. In a complete metric space

49. Natural numbers and integers are

50. which series is divergent series

51. Every superset of an infinite set is

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

53. A convergent sequence converges to

54. Sup (X) =

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

56. The intersection of two infinite sets is

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

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

59. If a function is strictly monotone then It is

60. A sequence is a function whose domain is

61. If least upper bound exists  then it is

62. The set of all real algebric numbers is

63. The range of sequence

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

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

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

67. Set of numbers which have ordered fields

68. Every bounded sequence has a subsequence which

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