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The Limit Laws (What are the Laws or Theorems on Limits of Functions)
This lecture note provides a concise, well-organized reference on key limit laws and theorems in calculus. It states precise mathematical expressions for evaluating limits of sums, differences, products, quotients, powers and roots of functions in terms of limits of the individual functions. Helpful examples illustrate application of the major laws including the limit of constants, identity function, constant multiples, sums, differences, products, quotients, powers and roots. The examples demonstrate how the limit laws enable circumventing step-by-step calculations to directly evaluate function limits in terms of component function limits. The lecture note concludes by noting proper order of operations for inputting negative numbers when finding powered limits on calculators. The breadth of limit laws covered alongside clear mathematical statements and illustrative examples make this an excellent reference for reinforcing understanding of these foundational theorems underlying much of calculus and analysis. Memorizing the limit laws expressed here would equip students well for streamlining a wide variety of complex limit evaluations.
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Specifications
- School: Secondary school
- Subject: Calculus
- All documents for this course ›
- Author: Rochell Petil
Document
- Section: Lecture notes
- Made on: 01-10-2024
- Type: .pdf
- Pages: 3
- Language: English
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