The book "Tasks for home control work on the topic: "The limit of sequence, the limit of function"" by the team of authors is an indispensable educational resource for students and schoolchildren seeking to understand deeper one of the key sections of mathematical analysis. This book is not just a collection of exercises, but a real guide that helps to consolidate theoretical knowledge and develop the analytical thinking necessary to successfully master complex concepts of limits. The focus of this work is on the concepts of the limit of sequence and the limit of function, which are the foundation for understanding more complex sections of mathematics, such as differential and integral calculus. The author's team, which has a rich pedagogical experience, carefully selected tasks of varying complexity - from basic exercises for beginners to tasks that cause a real challenge even for advanced students. Each task is accompanied by detailed explanations and tips, which makes the book an excellent tool for self-study and preparation for control and exams. This book is ideal for high school students, first-year university students, as well as for those who are preparing to take the exam or entrance examinations in mathematics . Its structure makes it easy to navigate in the material, and a variety of tasks helps to form a systematic understanding of the topic. The book is especially valuable for those who prefer to learn on their own, because it provides an opportunity not only to test their knowledge, but also to understand where exactly there are gaps, and how to eliminate them. The topics raised in the book cover all the important aspects of limits: from the definition and properties of the limits of sequences and functions to the methods of their calculation and analysis. Particular attention is paid to classical and modern approaches to solving problems, which makes the book relevant for those who want to deepen their knowledge in the field of mathematical analysis. The author's style is distinguished by clarity and accessibility, which helps the reader not only to remember formulas and rules, but also to understand their meaning, which is especially important when studying such abstract concepts. What makes homework assignments on the topic “Sequence limit, function limit” really noteworthy is the combination of practical assignments with theoretical explanations, which contributes to the formation of a solid knowledge base. The book presents not only standard tasks, but also original exercises that stimulate analytical thinking and creativity. This makes it an excellent assistant in exam preparation, as well as a good addition to math curricula. The style of the authors is distinguished by a special pedantry and attention to detail, which allows you to understand even the most difficult moments without unnecessary confusion. The team of authors, known for their textbooks and manuals on mathematics, created a book that not only helps to solve problems, but also forms confidence in the reader’s knowledge. Overall, this edition is a great choice for those who want to not just memorize the formulas, but really understand how the limits work, and learn how to put this knowledge into practice. If you are looking for a book that will help you prepare for exams, deepen your knowledge or simply expand your mathematical horizons, homework assignments on the topic: “Sequence limit, function limit” will become your reliable assistant. This book is a real key to understanding the basics of analysis, which will open up new opportunities for study and professional growth.