Calculus Flashcard 1

Front

What is a limit in calculus?

Back

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

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What does it mean if a limit is DNE (Does Not Exist)?

Back

It means that the function does not approach a specific value as the input approaches a certain point.

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Back

As x approaches 1, the function f(x) approaches 4.

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What is the significance of approaching a limit from the left?

Back

It refers to the values of the function as the input approaches from values less than the point.

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Back

The function does not approach a specific value as x approaches 0.

Front

What does it mean for a function to be undefined at a point?

Back

It means that the function does not have a value at that specific input.

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Back

As x approaches 6 from the left, the function f(x) approaches -4.

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What is the difference between left-hand limit and right-hand limit?

Back

Left-hand limit approaches from values less than the point, while right-hand limit approaches from values greater than the point.

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Back

The function f(x) equals 0 when x is -2.

Front

What is the purpose of finding limits in calculus?

Back

Limits help in understanding the behavior of functions at specific points, especially where they may not be defined.