Real Analysis Questions – Daily Mathematics MCQs
Practise carefully selected Real Analysis multiple-choice questions covering core undergraduate and competitive-exam concepts. Attempt each problem first, then reveal the detailed solution.
About These Real Analysis Questions
Use this question bank for focused practice. Each MCQ is presented in crawlable HTML and includes answer choices, an instant answer check and a detailed solution that you can reveal after attempting the problem.
Search & Filter Questions
Find questions by concept, difficulty or exam relevance.
Showing 2 questions.
No questions match your filters. Try clearing the search box or choosing "All" for difficulty and exam.
Real Analysis Question Archive
Newest questions appear first.
Question RA-001
Detailed Solution
Since $(a_n)$ converges to some $L\in\mathbb R$, for $\varepsilon=1$ there exists $N$ such that $|a_n-L|<1$ for all $n\ge N$. Hence $|a_n|\le |L|+1$ for all $n\ge N$. The finitely many terms $a_1,\ldots,a_{N-1}$ are also bounded. Therefore $(a_n)$ is bounded. Thus the correct option is $\boxed{\mathrm{B}}$.Have a doubt or a different approach? Continue the mathematics discussion on Telegram.
Join Telegram Discussion
Question RA-002
Detailed Solution
Every $x\in(0,1)$ satisfies $x<1$, so $1$ is an upper bound. Moreover, for every $\varepsilon>0$, there is $x\in(0,1)$ with $1-\varepsilonHave a doubt or a different approach? Continue the mathematics discussion on Telegram.
Join Telegram Discussion
Prepare Smarter with Real Analysis MCQs
For competitive mathematics examinations, knowing a definition is only the first step. These questions are designed to make you apply theorems, identify subtle distinctions and practise the kind of conceptual reasoning that is useful in IIT JAM, CUET-PG, CSIR-NET, UGC-NET and GATE preparation.
For deeper study, combine this practice bank with the mathematics lecture videos, notes and other resources available on Fractal Frontier Maths.