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

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

3. {} is

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

5. Set of natural number is

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

7. The greatest lower bound of a set

8. A convergent sequence converges to

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

10. If a function is strictly monotone then It is

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

12. Which of the following has not multiplicative inverse

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

14. Supremum and infimum of 

15. Cauchy sequence of real numbers is

16. The range of sequence

17. which of the following statements is not correct ?

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

19. If least upper bound exists  then it is

20. The set of all real algebric numbers is

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

22. The intersection of two infinite sets is

23. The converse of Cauchy integral theorem is known as

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

25. what is supremum and infimum of R is

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

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

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

29. which of the following is not countable set

30. An improper Reimann Integral can without infinite

31. Every subset of a finite set is

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

33. which function is continuous everywhere

34. If  then

35. The set of all real transcendental numbers is

36. A sequence is a function whose domain is

37. An improper Reimann Integral can without infinite

38.  converges to limit

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

40. (Q, +, .) is

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

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

43. Supremum and infimum of an empty set is

44. Natural Numbers are

45. Natural numbers and integers are

46. (-∞)+(+∞)=

47. which series is divergent series

48. Every superset of an infinite set is

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

50. If f is contractive then f is

51. Set Q of the all rational numbers is

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

53. In a complete metric space

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

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

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

57. Set of numbers which have ordered fields

58. The set of negative integers is

59. Every bounded sequence has a subsequence which

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

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

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

63. Sup (X) =

64. Every constant sequence is

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

66. The set of real number can be denoted as

67. The signm function is not continuous at

68. Real number system consist of

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