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Welcome back, Jane! I have access to all your subjects and progress. What would you like to work on today?
Can you explain the epsilon-delta definition of limits?
JD
Great question! The epsilon-delta definition is the rigorous mathematical way to define what it means for a function to approach a limit. Let me break it down:
Formal Definition
For every ε > 0, there exists a δ > 0 such that if 0 < |x - c| < δ, then |f(x) - L| < ε.
In plain English: you can make f(x) as close to L as you want by choosing x close enough to c.
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