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Results tagged with real-analysis
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user 6836
Real-valued functions of real variable, analytic properties of functions and sequences, limits, continuity, smoothness of these.
2
votes
Looking for an interesting problem/riddle involving triple integrals.
This riddle is better phrased in term of double integral but can work for cubes instead of rectangles.
Here is the riddle: Call a rectangle integral if the length of (at least) one of its edges is an …
- 638
10
votes
Interesting applications (in pure mathematics) of first-year calculus
The irrationality of $e$ !!
First use the Taylor expansion of $e^x$ to show that $|e-S_n|<\frac{3}{(n+1)!}$ where $S_n= 1+\frac{1}{1!}+\frac{1}{2!}+\cdots + \frac{1}{n!}$. Then, deduce the irration …