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Formal definition of a limit. An epsilon-delta proof.
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Limits can be found graphically, analytically, or numerically. But how are limits formally defined? In this video, I present the formal definition of a limit and then give an example of proving the limit of a linear function as x approaches a value. These are commonly referred to at epsilon-delta proofs. For an intuitive approach to limits or for basic limits and properties, I invite you to view:
Intuitive Introduction to Limits
What are the basic limits and properties of limits?
How do you find the limit if there is a zero in the denominator? Properties of limits part 2.
Intuitive Introduction to Limits
What are the basic limits and properties of limits?
How do you find the limit if there is a zero in the denominator? Properties of limits part 2.
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Formal definition of a limit. An epsilon-delta proof.
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