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1:36 AM
It is probably not healthy, but I am beginning to take the treatment of this question personally. I voted to close it, but that failed.
I answered it because the other answers were lacking.
I came back to it later and put a lot of effort into improving its quality.
And then it was finally closed (after another close review failed).
All of that said, I think that the question is, at this moment in time, of a quality where it should remain open.
3
Q: Finding the derivative of $x \mapsto x^n$ for large $n$ using the definition

J'eIf $f : \mathbb{R} \to \mathbb{R}$, we can think of the derivative of $f$ at a point $x$, denoted $f'(x)$, as giving the slope of a line tangent to the graph of $f$ at the point $(x, f(x))$. One way to obtain the derivative is to consider a secant line through a second point $(x+h, f(x+h))$ on t...

 

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