Limits

Sarah Miller
7 min read
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Study Guide Overview
This study guide covers properties of limits, including limits of constant functions, sums, differences, products, quotients, powers, and composite functions. It also explores infinite limits and how limit properties apply to them. The guide provides worked examples, practice questions, a glossary of key terms, and exam tips for applying these properties effectively.
#Properties of Limits
#Table of Contents
- Introduction to Limit Properties
- Basic Limit Properties
- Infinite Limits
- Practice Questions
- Glossary
- Summary and Key Takeaways
#Introduction to Limit Properties
Understanding limit properties (also known as limit theorems) is crucial for solving complex functions algebraically. These properties allow us to break down complicated functions into simpler parts, making it easier to determine their limits.
#Basic Limit Properties
#Limit of a Constant Function
If is a constant, then:
#Limit of a Multiple of a Function
If is a constant and , then:
#Limit of a Sum or Difference of Functions
If and , then:
#Limit of a Product of Functions
If and , then:
#Limit of a Quotient of Functions
If and with , then:
#Limit of the Power of a Function
If and is a real number, then: $...

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