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# Real Analysis MCQs with answers

3000+ Mathematics all subject MCQs with their Answeers

Real Analysis MCQs consist of 69 most repeated and most important questions. So prepare real analysis to attempt these questions. You can also get their answers by clicking on submit button. Finally you will get all correct answers. Good luck

Vector and tensor analysis mcqs with answers

Real Analysis MCQs at www.pakmath.com

1. The intersection of two infinite sets is

2. (Q, +, .) is

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

4. The set of real number can be denoted as

5. An improper Reimann Integral can without infinite

6. A sequence is a function whose domain is

7. Every subset of a finite set is

8. Which of the following has not multiplicative inverse

9. (-∞)+(+∞)=

10. If least upper bound exists  then it is

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

12. An improper Reimann Integral can without infinite

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

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

15. Cauchy sequence of real numbers is

16. Set of natural number is

17. Set Q of the all rational numbers is

18. The greatest lower bound of a set

19. Real number system consist of

20. The set of negative integers is

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

22. Every bounded sequence has a subsequence which

23. Supremum and infimum of an empty set is

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

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

26. Natural numbers and integers are

27. which series is divergent series

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

29. The converse of Cauchy integral theorem is known as

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

31. Every superset of an infinite set is

32. Set of numbers which have ordered fields

33. If $\dpi{120}&space;\small&space;x&space;,&space;y&space;\in&space;R$ then

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

35. which function is continuous everywhere

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

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

38. The signm function is not continuous at

39. $\dpi{120}&space;\small&space;\frac{(-1)&space;^{n-1}}{n!}$ converges to limit

40. Supremum and infimum of $\dpi{120}&space;\small&space;{&space;(-1)^x&space;}&space;:&space;x&space;\in&space;N$

41. Every constant sequence is

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

43. A convergent sequence converges to

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

45. what is supremum and infimum of R is

46. {$\dpi{120}&space;\small&space;{1&space;+&space;(-1)^n&space;}$} is

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

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

49. In a complete metric space

50. If f is contractive then f is

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

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

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

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

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

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

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

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

59. Natural Numbers are

60. which of the following statements is not correct ?

61. The set of all real algebric numbers is

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

63. which of the following is not countable set

64. Sup (X) =

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

66. If a function is strictly monotone then It is

67. The set of all real transcendental numbers is

68. The range of sequence

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

## Real analysis 2 mcqs with answers

In this section, there are real analysis 2 mcqs with answers. These mcqs consist of 50+ most repeated and most important questions.  These mcqs were prepared according to the pattern of all kinds of test preparations. So prepare these mcqs for preparation of all tests. Good Luck

Mechanics MCQs 01

1. I really enjoyed the rest. Questions were nicely Framed. Thank you!!!

2. nice iam interesed quesions are chosen good.Thank you

3. A.o.A Sir, I’m a student of Bs (Hons) Mathematics studying pure maths currently, my 6th semester’s finals+mids (online MCQs) are just around the corner and my whole class is nervous.
If you could provide us with some already written or saved MCQs about the following subjects, we’ll be forever thankful.

Introduction to Topology
Real Analysis II
Mathematical Statistics
Classical Mechanics
Number Theory

4. yes sir
plz provide us Mcqz of
Mathematical Methods
Real Analysis 2
classiscal Mechnics

5. Febila Mercy M

Thank you. Good choosen

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