Solved MCQ on Sequence of real numbers | Real Analysis | BSc Mathematics | Advanced Calculus | SET скачать в хорошем качестве

Solved MCQ on Sequence of real numbers | Real Analysis | BSc Mathematics | Advanced Calculus | SET

In this video lecture, theory and solved Multiple Choice Questions (MCQ) on the Sequence of real numbers have been discussed in HINDI. Must watch before any university exam or any MCQ type Exam. Very helpful and easily explained for BSc 2nd year students(B.Sc. Semester III) Sant Gadge Baba Amravati University (SGBAU), Amravati, RTMNU, Nagpur, Gondwana University, YCMOU, BSc Exam Also, helpful for Maharashtra SET Mathematics and NET Mathematical Science Examination. BSc Semester-III Mathematics paper-V (Advanced Calculus) Unit-1 : Sequence of real numbers In the first part of the video, the definition of sequence, bounded sequence, convergent sequence, Limit of sequence along with important results are explained. In the second part, monotone sequence, monotone convergence theorem and Cauchy sequence is discussed along with the previous year solved MCQ. ✍️ For PDF Notes (free) on Advanced Calculus, Linear algebra, Mathematical Analysis, Modern Algebra, etc Visit my page: https://sites.google.com/view/akshay26 For directly watching Particular Topic, click on following topic wise timing: Timestamps:🕙 [00:36] :- Sequence and bounded sequence [02:16] :- Limit of sequence [03:35] :- Convergent sequence [08:40] :- MCQ on limit of sequence [15:40] :- Monotone sequence [17:34] :- Monotone Convergence theorem [19:13] :- Solved MCQ on Monotone sequence [24:33] :- Theory and MCQ on Cauchy Sequence [27:06] :- Solved MCQ on sequence of real numbers for Maharashtra SET Mathematical sciences Examination 👉 Playlist : Solved MCQ on Advanced Calculus    • Solved MCQ on Advanced Calculus (BSc Sem-III)   Sequence and series Playlist :    • Sequence and Series of Real Numbers   Solved MCQ on mathematical Analysis and complex analysis playlist:    • Solved MCQ on Mathematical Analysis (BSc S...   Riemann integral playlist:    • Riemann Integrals   #MCQ #Sequence #RealAnalysis #AdvancedCalculus #MonotoneSequence #sgbau #AmaravtiauniversityExam #AkshayJenekar #CauchySequence #ScoreMore #OnlineExam #BSc2ndYear #BScSem3 #MultipleChoiceQuestion #ShortcutTricks #SETMath #BScMathematics #TricksToSolveMCQ #winter2020 #Bounded #AmaravtiUniversity #rtmnu #NagpurUnivesity #UniversityExams #Mathematics #Supremum #ImportantMCQ #Analysis #BSc #IITJAM #Easy #NET #MaharashtraSET #infimum LIKE, SHARE AND SUBSCRIBE to this channel for more such video lectures. A sequence is said to be bounded if it is bounded above and below. If limit of sequence exists, then it is unique and is said to be convergent sequence. Otherwise, it is said to be divergent. Properties of convergent sequence: i) Every convergent sequence has unique limit. ii) Every convergent sequence is bounded. But converse need not be true, i.e., every bounded sequence need not be convergent. Monotone Sequence: A sequence which is either increasing or decreasing is called monotone sequence. Monotone Convergence Theorem : Every monotone sequence is convergent if and only if it is bounded. Some important results from Monotone Convergence Theorem : i) Every monotonic increasing sequence which is bounded above converges to its supremum. ii) Every monotonic decreasing sequence which is bounded below converges to its infimum. Every convergent sequence of real numbers is a Cauchy sequence. Every Cauchy sequence of real numbers is bounded. Cauchy’s convergence criterion : A sequence of real numbers is convergent if and only if it is Cauchy sequence. keywords: Important MCQ on sequence, real sequence, sequence of real numbers, Real analysis MCQ, MCQ of BSc Mathematics Semester-3, MCQ of BSc Mathematics Semester-III MCQ of BSc Second year Mathematics, MCQ for SGBAU Mathematics Exam, MCQ for RTMNU Mathematics Exam, MCQ for SGBAU, Amravati Exam, MCQ for RTMNU, Nagpur Exam Solved MCQ on sequence and series for Maharashtra SET Exam Mathematics, multiple choice questions on Sequence, multiple choice question on monotone sequence, supremum and infimum of sequence, Easily learn mathematics, sequence ke solved questions, Kya hota hai monotone sequence, mcq for sequence and series, multiple choice questions on Cauchy sequence, Solved MCQ of BSc Mathematics Semester-3, Solved MCQ of BSc Mathematics Semester-III, BSc semesyer-3 mathematics, Solved MCQ of BSc 2nd year Mathematics , Solved MCQ for SGBAU Mathematics Exam, Solved MCQ for SGBAU, Amravati Exam, Solved MCQ for Amravati University Exam, Solved MCQ for Nagpur University Exam, Solved Multiple choice question math, shortcuts for MCQ of real sequence, IIT JAM, MH-SET exam Mathematical sciences, Online Exam pass kare, score kare mathematics mai, real analysis, sequence series online padhayi MCQ Exam ki tayari, BSC Math answers for advanced calculus, sequence of real numbers and series MCQ solutions, sgbau, Amaravati winter 2020 Exam, Theory and concept with shortcut tricks in real sequence.