1. Every bounded sequence has a subsequence which

2. Which of the following has not multiplicative inverse

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

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

5. A convergent sequence converges to

6. An improper Reimann Integral can without infinite

7. which of the following statements is not correct ?

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

9. which of the following is not countable set

10. An improper Reimann Integral can without infinite

11. The set of real number can be denoted as

12. The set of all real algebric numbers is

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

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

15. Sup (X) =

16. If  then

17. The set of all real transcendental numbers is

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

19. Set of numbers which have ordered fields

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

21. which series is divergent series

22. The intersection of two infinite sets is

23. If a function is strictly monotone then It is

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

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

26. which function is continuous everywhere

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

28. Supremum and infimum of 

29. Cauchy sequence of real numbers is

30. what is supremum and infimum of R is

31. If least upper bound exists  then it is

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

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

34. If f is contractive then f is

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

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

37. Every constant sequence is

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

39. Supremum and infimum of an empty set is

40. Set of natural number is

41. (Q, +, .) is

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

43. Every superset of an infinite set is

44. (-∞)+(+∞)=

45. Every subset of a finite set is

46. Real number system consist of

47. Natural Numbers are

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

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

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

51. The converse of Cauchy integral theorem is known as

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

53. The greatest lower bound of a set

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

55.  converges to limit

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

57. Set Q of the all rational numbers is

58. In a complete metric space

59. Natural numbers and integers are

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

61. {} is

62. The set of negative integers is

63. A sequence is a function whose domain is

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

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

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

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

68. The signm function is not continuous at

69. The range of sequence