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Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.

10 votes

Nonexistence of boundary between convergent and divergent series?

As Dylan Wilson pointed out, the following question appears in Folland's real analysis book: (second edition, pg. 164) (33) There is no slowest rate of decay of the terms of an absolutely convergent …
Mustafa Said's user avatar
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6 votes

Interesting Calculus Questions/Exercises

The following problem is often found in introductory Real Analysis courses but can be solved by IVT: Let $f :[0,1] \to [0,1]$ be continuous. Show that f(x) has a fixed point. In other words, there …