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

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

3. An improper Reimann Integral can without infinite

4. The set of all real transcendental numbers is

5. A convergent sequence converges to

6. which of the following is not countable set

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

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

9.  converges to limit

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

11. {} is

12. The signm function is not continuous at

13. If f is contractive then f is

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

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

16. Every subset of a finite set is

17. The set of real number can be denoted as

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

19. The set of negative integers is

20. which of the following statements is not correct ?

21. Real number system consist of

22. The set of all real algebric numbers is

23. Sup (X) =

24. Set of numbers which have ordered fields

25. Every constant sequence is

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

27. If least upper bound exists  then it is

28. Set Q of the all rational numbers is

29. The range of sequence

30. Set of natural number is

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

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

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

34. (-∞)+(+∞)=

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

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

37. which series is divergent series

38. Natural numbers and integers are

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

40. The converse of Cauchy integral theorem is known as

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

42. Every bounded sequence has a subsequence which

43. Natural Numbers are

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

45. Which of the following has not multiplicative inverse

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

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

48. The greatest lower bound of a set

49. The intersection of two infinite sets is

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

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

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

53. Supremum and infimum of 

54. Cauchy sequence of real numbers is

55. If  then

56. Every superset of an infinite set is

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

58. In a complete metric space

59. (Q, +, .) is

60. A sequence is a function whose domain is

61. An improper Reimann Integral can without infinite

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

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

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

65. Supremum and infimum of an empty set is

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

67. which function is continuous everywhere

68. what is supremum and infimum of R is

69. If a function is strictly monotone then It is