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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.$\displaystyle \lim_{x \to 2} \frac{x^6 - 64}{x - 2}$

## $f(x)=x^{6}$$a=2$

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### Video Transcript

Hello. We have a question. Um And this it is given that each limit represents the deliverable function. Yeah. At some point A. Okay so this is limit X approaches to to access the power six minus 64 X. Raised to the power six -64 by X -2. Okay, let me have formula that yes visit at A. So they should be limit X approaches to a FX -5A by x minus E. Uh And the school building has limit X approaches to to x rays to the power six minus two days. To the power six By X -2. Now if you compare, these two will be getting the value of effects as excellent at about six and A. S. Two. Thank you.

Women's College Jamshedpur

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