Limits Graphically

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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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It represents the value that the function f(x) approaches as x approaches a.

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

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It means that both the left-hand limit and right-hand limit are equal to the same value.

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What does DNE stand for in the context of limits?

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

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It indicates that the left-hand limit and right-hand limit do not equal each other.

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What is the graphical interpretation of a limit?

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The graphical interpretation of a limit is the value that the y-coordinate of the function approaches as the x-coordinate approaches a specific value.

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What is a removable discontinuity?

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A removable discontinuity occurs when a limit exists at a point, but the function is not defined at that point.