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Consider the following function. f(x) = 1 x 9 find the limit. lim δx→0 f(x δx) − f(x) δx

User Andrewmu
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1 Answer

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Final answer:

This is a calculation to find the limit of the change in a constant function as the input's change approaches zero, which results in a derivative of 0.

Step-by-step explanation:

The question appears to be about calculating the limit of the change in a function as the change in the input approaches zero. Specifically, it looks like a question involving the derivative of a function. Given that f(x) is a constant function, as indicated by the horizontal line graph between 0 and 20, the derivative will be 0. Thus, finding the limit as δx approaches zero for the expression f(x + δx) - f(x) over δx would result in 0, since there is no change in the value of f(x) as x changes.

User Fireant
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