1. Natural numbers and integers are

2. Every subset of a finite set is

3. If least upper bound exists  then it is

4. which series is divergent series

5. which function is continuous everywhere

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

7. {} is

8. The signm function is not continuous at

9. Every constant sequence is

10. Every bounded sequence has a subsequence which

11. which of the following statements is not correct ?

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

13. An improper Reimann Integral can without infinite

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

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

16. The set of real number can be denoted as

17. Supremum and infimum of 

18. Every superset of an infinite set is

19. what is supremum and infimum of R is

20. Set of natural number is

21. The set of all real transcendental numbers is

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

23. In a complete metric space

24. Real number system consist of

25. The intersection of two infinite sets is

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

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

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

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

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

31. (-∞)+(+∞)=

32. The greatest lower bound of a set

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

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

35. The set of all real algebric numbers is

36. Sup (X) =

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

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

39. Supremum and infimum of an empty set is

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

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

42. Set Q of the all rational numbers is

43. Set of numbers which have ordered fields

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

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

46. If f is contractive then f is

47. (Q, +, .) is

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

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

50. which of the following is not countable set

51. If  then

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

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

54. Natural Numbers are

55. An improper Reimann Integral can without infinite

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

57. Which of the following has not multiplicative inverse

58. A convergent sequence converges to

59.  converges to limit

60. The set of negative integers is

61. If a function is strictly monotone then It is

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

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

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

65. The range of sequence

66. Cauchy sequence of real numbers is

67. A sequence is a function whose domain is

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

69. The converse of Cauchy integral theorem is known as