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Problem 39 Easy Difficulty

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} $

Answer

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

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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.