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Results tagged with real-analysis
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user 5952
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
0
votes
Accepted
Second difference
Yes, i think.
Pick an integer $n>1$ and let $f$ be the function given by $f(x) = x^n\sin(x^{-n})$ for $x>0$ and $f(x)=0$ for $x\leq 0$. It is continuous, and smooth except at $x=0$. It is not $C^1$ …
- 4,015
18
votes
Looking for an interesting problem/riddle involving triple integrals.
I have seen students close to suicide over the following one: For $i=1,2,3$ denote by $C_i$ be the solid cylinder in $\mathbb R^3$ with axis given by the standard basis vector $x_i$ and radius 1. Comp …
- 4,015