Limits Practice

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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 function to be discontinuous?

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A function is discontinuous at a point if it is not continuous at that point, meaning the limit does not equal the function's value.

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How do you find the limit using direct substitution?

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To find the limit using direct substitution, replace the variable in the function with the value that x approaches.

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

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The limit of a polynomial function as x approaches infinity is determined by the leading term.

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The limit is undefined because it results in a 0/0 indeterminate form.

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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 cannot be determined.

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The limit is 7.

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What is the significance of the leading coefficient in polynomial limits?

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The leading coefficient determines the behavior of the polynomial as x approaches infinity.

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What is an indeterminate form?

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An indeterminate form is an expression that does not have a well-defined limit, such as 0/0 or ∞/∞.