Calculus 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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What does it mean for a limit to be undefined?

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A limit is undefined if the function does not approach a specific value as the input approaches a certain point.

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The limit is 4.

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What is the limit of a constant function?

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The limit of a constant function as x approaches any value is the constant itself.

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The limit is +∞.

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The limit is -∞.

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How do you find the limit of a function as x approaches a value?

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You can substitute the value into the function, factor, or rationalize if necessary.

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

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The limit is simply the value of the polynomial at that point.

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Evaluate the limit: Find the limit as x approaches -4 from the left for the function f(x) = 2.

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The limit is 2.