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In this 2nd video Lecture on sequence, I have discussed about important theorem on convergent sequence in Hindi. There is no need to remember any proof of theorem. Strategy to prove any theorem is explained in simple manner. If you haven't watched previous video lectures, please do watch it. Limit of sequence and shortcut tricks: • What is a sequence? (in Hindi) | Bounded s... The uniqueness of limit of sequence is followed from the uniqueness of limit of function. The second theorem is about the property of convergent sequence that to be bounded sequence. Every Convergent sequence is bounded. But what about its Converse part? In last part of video, some interesting examples and results are discussed and the notion of oscillating sequence is explained which are important for BSc student and for IIT-JAM examination. Click on following time for directly going on particular Topic : 01:30 : Revising Limit of sequence 03:00 : Limit of convergent sequence is unique. 12:25 : Every Convergent sequence is bounded. 19:00 : Does every bounded sequence is also convergent ? (Counter example) 21:53 : Oscillatory Sequence- finitely and infinitely. In next video Lecture, we will see positivity theorem on limit of sequence and Sandwich theorem along with its use in finding limit of sequence. You can also check my other video Lectures : What is a sequence? (in Hindi) | Bounded sequence | Limit of sequence | Shortcut Tricks for limit • What is a sequence? (in Hindi) | Bounded s... Algebra of Limit of Sequence | Positivity Theorem | No Need to Remember Proofs | Easy Explanation. • Algebra of Limit of Sequence | Positivity ... Riemann Integrals (in Hindi) |Graphically Explained | Partition | Upper and Lower Sum | B.Sc. Maths • Riemann Integrals (in Hindi) |Graphically ... Important Examples of Riemann Integrals | Discontinuous Function | Monotonic Function | BSc Maths • Important Questions of Riemann Integrals |... What is Linear Transformation ? | Geometrically Explained | Linear Algebra | Higher Mathematics • What is Linear Transformation ? | Geometri... #convergence #limitofsequence #bscmaths #bounded #highermathematics #calculus #mathematicsanalysis #limitisunique #sgbau #rtmnu #AkshayJenekar #convergentsequence #infinite_sequence #iitjam #theorem #realanalysis #advancedcalculus LIKE, SHARE and SUBSCRIBE to the channel for more such video lectures.