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formal definition
[formal definition|formal definition] The formal definition of a limit is quite possibly one of the most challenging concepts encountered early in calculus study.
Definition
formal definition The formal definition of a limit is quite possibly one of the most challenging concepts encountered early in calculus study. It is well worth the effort to align it with intuitive understanding.
Mechanism
formal definition The formal definition is used to prove limits involving infinity, such as showing lim x→∞ [3 - 1/x] = 3. It requires selecting N based on epsilon to ensure all x > N satisfy the condition.
Effects
formal definition The formal definition is used to prove the result involving infinite limits at infinity.