Limits

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What is a limit in calculus?

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A limit is a value that a function approaches as the input approaches some value.

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What does DNE stand for in limits?

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DNE stands for 'Does Not Exist', indicating that a limit does not approach a finite value.

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11

Front

What is the limit of a function as x approaches a point?

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It is the value that the function gets closer to as x gets closer to that point.

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What is the significance of one-sided limits?

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One-sided limits help determine the behavior of a function as it approaches a point from one side (left or right).

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2

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What is the Squeeze Theorem?

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The Squeeze Theorem states that if a function is squeezed between two other functions that have the same limit at a point, then the squeezed function also has that limit.

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What is the limit of a constant function?

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The limit of a constant function is the constant itself, regardless of the input value.

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What is the difference between a limit and a function value?

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A limit describes the behavior of a function as it approaches a point, while a function value is the actual output of the function at that point.