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Results tagged with real-analysis
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user 171820
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
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votes
Are such functions differentiable?
For any $x$ and for sufficiently large $n$ such that $1+x/n>0$, it holds that
\begin{align}
f(x) &\ge f\left (\frac{(n-1)x}n \right) (1+x/n)\\
&\ge f\left (\frac{(n-2)x}n \right)(1+x/n)^2 \\
&\ge \cdo …
- 561