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

2. which series is divergent series

3. If a function is strictly monotone then It is

4. The converse of Cauchy integral theorem is known as

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

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

7. Real number system consist of

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

9. Every superset of an infinite set is

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

11. Supremum and infimum of an empty set is

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

13. The set of real number can be denoted as

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

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

16. {} is

17. Supremum and infimum of 

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

19.  converges to limit

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

21. The set of all real algebric numbers is

22. An improper Reimann Integral can without infinite

23. Every subset of a finite set is

24. The range of sequence

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

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

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

28. An improper Reimann Integral can without infinite

29. Which of the following has not multiplicative inverse

30. Cauchy sequence of real numbers is

31. The signm function is not continuous at

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

33. (Q, +, .) is

34. which of the following is not countable set

35. Sup (X) =

36. In a complete metric space

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

38. If  then

39. Natural numbers and integers are

40. (-∞)+(+∞)=

41. The intersection of two infinite sets is

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

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

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

45. Set Q of the all rational numbers is

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

47. which of the following statements is not correct ?

48. Set of numbers which have ordered fields

49. The set of negative integers is

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

51. A sequence is a function whose domain is

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

53. The set of all real transcendental numbers is

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

55. The greatest lower bound of a set

56. Every constant sequence is

57. A convergent sequence converges to

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

59. Every bounded sequence has a subsequence which

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

61. which function is continuous everywhere

62. Natural Numbers are

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

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

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

66. If least upper bound exists  then it is

67. Set of natural number is

68. If f is contractive then f is

69. what is supremum and infimum of R is