The book "The Limit and Continuity of the Function of a Single Variable", written by a team of authors, is a fascinating and in-depth study of the foundations of mathematical analysis, which will be especially interesting for students, teachers and anyone who seeks to deepen their knowledge in this area. This work not only covers theoretical aspects, but also offers readers practical examples, making it an indispensable tool for exploring limits and continuity. From the first pages, the book immerses the reader in the world of mathematical concepts, starting with the definition of the limit of the function and ending with more complex topics, such as the properties of continuous functions. The authors use a clear and accessible language, which allows even beginners in mathematics to easily assimilate the material. The reader will be able not only to understand what the limit is, but also to see how this concept is applied in various mathematical problems and in real life. The book will be especially useful for senior students of schools and universities, as well as teachers who are looking for quality materials to prepare for classes . It can attract the attention of those who are interested in mathematics as a science, and those who want to improve their skills in solving problems related to functions. If you are preparing for the exams in mathematical analysis or just want to refresh your knowledge, this publication will become your reliable assistant. The topics raised in the book go beyond simply exploring the limits and continuity of. The authors consider different approaches to solving problems, analyze typical mistakes that students may have, and suggest strategies for overcoming them. This makes the book not only a tutorial, but also a practical guide for those who want to develop their analytical skills. The style of the authors is clear and logical, which makes it easy to follow the course of thought and assimilate even the most complex concepts. The book is filled with illustrations and graphs that help to visualize mathematical ideas and make the learning process more fascinating. This is especially important for visuals that are better at perceiving information through images. The "limit and continuity of the function of a single variable" can be compared with other known works in the field of mathematical analysis, such as Mathematical Analysis B. A. Zoric or "Course of Mathematical Analysis" A. N. Kolmogorov . These books also offer a deep immersion in theory and practice, but this edition stands out for its accessibility and practical focus. The book is not only about its content, but also about the relevance of the topics it raises. In today's world, where mathematics plays a key role in science and technology, understanding the basics of mathematical analysis is becoming necessary for many professions. From engineers to economists, they all face challenges that require in-depth knowledge in this field. If you are looking for a book that will help you understand the limit and continuity of functions, expand your horizons and prepare for future challenges, “The limit and continuity of the function of a single variable” is exactly what you need. It will be your reliable companion in the world of mathematics, opening new horizons and deepening your understanding of this amazing science.