Start of the course on higher mathematics. Limit of a sequence. Properties. Delta-epsilon language
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The summary is here: https://1.shkolkovo.online/public-sto... You can CLICK before the Unified State Exam and Basic State Exam for FREE❗ ???? What to do: ✔Send the link to all your friends ???? https://t.me/+1x9ykoHt6H00NWQy ✔Wait for secret information about connecting courses ✔Get courses for free :) Summer school as a ????GIFT? Easy! For those who connect to Vremya Pervykh - the Summer Course is a bonus ???? ????USE: https://3.shkolkovo.online/vremya-per... ????OGE: https://3.shkolkovo.online/vremya-per... ????10th grade: https://3.shkolkovo.online/vremya-per... ❗HURRY UP: the price for VP will increase on June 9th ???? ???? Spin the roulette and get an additional discount ????????https://3.shkolkovo.online/fortune?ut... Higher Mathematics Course with Koval Maksim Olegovich and Zagrivin Anton Albertovich The course includes: 1-2 webinars per week Homework + Homework solutions Curators who will help not only with homework problems, but also with your university problems Help with preparation to the session and during the session Webinar notes Access to the database of problems in higher mathematics ✅ You can purchase the course here ????????https://2.shkolkovo.online/purchase?P... All our current promotions and discounts https://2.shkolkovo.online/special 0:00 - Beginning. Let's talk a little about the content of the course 6:30 - Definition of a sequence. Examples of a sequence 12:35 - Bounded sequences. Bounded below, bounded above sequences. We learn quantifiers 24:45 - Introducing the limit of a sequence. We reason about limits through corridors 35:50 - Looking for the limit by definition for the sequence 1/n 46:30 - Trying to look for limits by definition for other sequences. We understand that the first terms of the sequence do not affect the limit 54:20 - Looking for the limit for the generalization of all sequences C/n^(alpha). We look at how the limit of an infinite small sequence changes if each is increased by a fixed number of times 1:05:35 - We use the properties of fractions to construct a hypothesis about the value of the limit. We learn the method for calculating N(eps) through additional inequalities 1:14:40 - We study an example of calculating the limit for a sequence formed by a geometric progression 1:19:30 - An example of divergent sequences: (-1)^n 1:27:10 - We move on to the properties of a convergent sequence (properties of limits). We start with the uniqueness of the limit 1:37:55 - The next property: a convergent sequence is bounded 1:45:55 - We show that boundedness of a sequence does not imply convergence 1:47:30 - Instructions from Maxim Olegovich, general considerations on the web and the course
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