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# Each limit represents the derivative of some function $f$ at some number $a$. State such an $f$ and $a$ in each case.$\displaystyle \lim_{x \to 1/4} \frac{\frac{1}{x} - 4}{x - \frac{1}{4}}$

## $f(x)=\frac{1}{x}$$a=\frac{1}{4}$

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We have a question And this we have been provided with a limit X approaches to one x 4. one by X -4 by X -1 x four. So we need to find the value of have A. We have F D. A. Cool too affects minus yeah F A. He went by x minus A. So This is one x 4. This could be 10 years. If you compare we can write F-1 by full, equal to FX. That is one by X one by one x 4, Divide by X -1 x four. So He is able to be equal to one x 4 and effects will be equal to one by X. So this should be the answer Thank you.

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