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

2. If a function is strictly monotone then It is

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

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

5. {} is

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

7. Every bounded sequence has a subsequence which

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

9. The set of negative integers is

10. Natural Numbers are

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

12. Set Q of the all rational numbers is

13. Every subset of a finite set is

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

15. A sequence is a function whose domain is

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

17. Supremum and infimum of 

18.  converges to limit

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

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

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

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

23. The set of real number can be denoted as

24. which of the following statements is not correct ?

25. (Q, +, .) is

26. If least upper bound exists  then it is

27. The set of all real algebric numbers is

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

29. Set of natural number is

30. The range of sequence

31. Natural numbers and integers are

32. Supremum and infimum of an empty set is

33. which of the following is not countable set

34. In a complete metric space

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

36. The intersection of two infinite sets is

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

38. what is supremum and infimum of R is

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

40. Cauchy sequence of real numbers is

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

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

43. (-∞)+(+∞)=

44. An improper Reimann Integral can without infinite

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

46. Every superset of an infinite set is

47. An improper Reimann Integral can without infinite

48. Set of numbers which have ordered fields

49. which series is divergent series

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

51. If f is contractive then f is

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

53. which function is continuous everywhere

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

55. A convergent sequence converges to

56. The signm function is not continuous at

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

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

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

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

61. Real number system consist of

62. The set of all real transcendental numbers is

63. The greatest lower bound of a set

64. The converse of Cauchy integral theorem is known as

65. If  then

66. Every constant sequence is

67. Which of the following has not multiplicative inverse

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

69. Sup (X) =