Limits Review

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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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Define the limit of a function as x approaches a specific value.

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The limit of a function as x approaches a specific value is the value that the function gets closer to as x gets closer to that specific value.

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What does it mean for a limit to be DNE (Does Not Exist)?

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A limit is said to be DNE if the function does not approach a specific value as x approaches a certain point.

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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 value of x.

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Infinity.

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Negative Infinity.

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The limit is -5/2.

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What is the limit of a polynomial function as x approaches a value?

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The limit of a polynomial function as x approaches a value is simply the value of the polynomial at that point.

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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.