# Real Analysis: MCQs and Short Questions with Answers

Dream Mathematic provides multiple-choice questions on multiple topics or subjects. Every Real Analysis MCQs quiz is very important for every university student who finds jobs in relevant fields. Also, who wants to start their student abroad or in different countries? They also practice these MCQ questions for better preparation for GRE. Dream Mathematic is a single place where you find all mathematic subjects MCQs Quiz, which are more crucial for us.

Major key points of these real analysis multiple choice questions quizzes are in which include all these past papers’ MCQs. Which are most repeated in different exams. It also includes important topic-wise MCQs.

## Real Analysis MCQs Quiz.2

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Real Analysis MCQs Quiz.2

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1. For any two bounded sets A and B in R, we can write Sup(AUB) =?

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2. The least upper bound of the set { x ∈ Q | x² < 2 } is?

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3. The supremum of a set?

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4. If the limit superior of a sequence is - ∞, then the subsequential limits set E is?

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5. If sₙ ≤ tₙ, then?

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6. Which one of the following is not true for the sequence { 1/n }?

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7. . Let E be the set of subsequential limits of the sequence of real numbers (xₙ), then the limit inferior to the sequence is?

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8. The infimum of the set A = { x ∈ R⁺ | 2x+5 > 0 }?

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9. Which one of the following statements is true for any non-empty subset of extended real numbers set?

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10. The supremum of the set (-∞,-2) U [2,∞) in extended real numbers is?

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11. The infimum of the set A = { x ∈ R | 2x+5 > 0 }?

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12. A set is said to have the greatest lower bound property if?

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13. The least upper bound of the set { x ∈ R | x² < 2 } is?

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14. Which one of the following statements is true for any non-empty bounded subset of R?

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15. The limit superior and limit inferior of (-1)ⁿ⁺¹ + (-1)ⁿ/n are respectively?

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16. An infinite geometric series is convergent with a common ratio r if and only if.