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Numerade Educator

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Problem 1 Easy Difficulty

Write an equation that expresses the fact that a function $ f $ is continuous at the number 4.

Answer

f(4)

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Video Transcript

to write an equation that expresses the fact that a function F Is continuous at the # four, we begin by defining when a function F is continuous at a number C. Now by definition a function F of X is continuous at and number see if first one FFC is defined, The next one would be if the limit as X approaches, see of this function exists. And then lastly, if the limit of dysfunction as X approaches see equals the value of the function at sea because you want our function to be continuous at a number C. Then the first two conditions should apply. That means every four is defined and The limit as X approaches four of this function exists, and so the equation that they want that expresses the fact that the function is continuous at four would be The 3rd condition. That's limit As X approaches four of this function should equal The value of the function at four. That is f of four.