1. Supremum and infimum of an empty set is

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

3. An improper Reimann Integral can without infinite

4. {} is

5. Every subset of a finite set is

6. The set of all real algebric numbers is

7. Every bounded sequence has a subsequence which

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

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

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

11. Natural Numbers are

12. Every constant sequence is

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

14. The set of negative integers is

15. If least upper bound exists  then it is

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

17. The greatest lower bound of a set

18. Supremum and infimum of 

19. which of the following statements is not correct ?

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

21.  converges to limit

22. An improper Reimann Integral can without infinite

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

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

25. The range of sequence

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

27. Which of the following has not multiplicative inverse

28. A convergent sequence converges to

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

30. A sequence is a function whose domain is

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

32. If a function is strictly monotone then It is

33. what is supremum and infimum of R is

34. which series is divergent series

35. (Q, +, .) is

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

37. Sup (X) =

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

39. Natural numbers and integers are

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

41. Every superset of an infinite set is

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

43. Real number system consist of

44. The converse of Cauchy integral theorem is known as

45. Set of numbers which have ordered fields

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

47. (-∞)+(+∞)=

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

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

50. which of the following is not countable set

51. If  then

52. Set of natural number is

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

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

55. Set Q of the all rational numbers is

56. The set of all real transcendental numbers is

57. In a complete metric space

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

59. The set of real number can be denoted as

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

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

62. The signm function is not continuous at

63. which function is continuous everywhere

64. If f is contractive then f is

65. The intersection of two infinite sets is

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

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

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

69. Cauchy sequence of real numbers is