7.7 (1) The limit of the number series 1. Teaching content analysis The concept of limit is one of the most important and basic concepts in calculus, because other important basic concepts in calculus (such as derivative, differentiation, integration, etc.) are all using limits Concepts are expressed, and their operations and properties must also be derived using the limit operations and properties. At the same time, the mastering of sequence limits is also conducive to the study of function limits. Therefore, the mastering of limit concepts is very important. Second, the design of teaching goals 1. Understand the concept of sequence limits, and can initially determine the limits of some simple sequence based on the definition of sequence limits. 2. Observe the process of movement and change, and initially understand the dialectical relationship between finite and infinite, approximate and precise, quantitative and qualitative changes, and improve the mathematical generalization ability, abstract thinking ability and aesthetic ability.
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