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This comprehensive guide helps students master calculating one-sided limits using tables and calculators, limits at infinity (negative infinity), and applying limit rules. Examples provided on finding limits, evaluating limits using tables, and a thorough explanation of the definition of a limit. Ideal for grasping key concepts in limits and enhancing mathematical skills.
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Objectives Students will be able to • Calculate a one-sided limit using a table and a calculator • Calculate a limit a limit at infinity (negative infinity) • Apply rules of limits
Example 1-1 For the function find
Example 1-2 For the function find
Example 1-3 For the function find
Example 2 Evaluate the limit
Example 3 Evaluate the limit
Example 4 Evaluate the limit using a table
Definition of Limit: A function f(x) has a limit (or tends to) A as x tends to a (written ), if for each number there exists a number such that for every x with