My job is so fun:
The merge module generator automatically detects COM and .NET assemblies.
For COM, the test is if the DLL or OCX has a DllRegisterServer() entry point.
For .NET, the test is if you can call OpenScope on a MetaDataDispenser for the binary. This returns true even for some executables.
Cool. Yeah, I spent a lot of time at work
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Use a power series expansion for f(x) = 1 + x2 + x4 + ...
You'll find that it only converges for x < 1, and that it converges to (1 - x2)-1
Here's the fun part: move the problem to the complex plane.
The scary part is, when Euler considered the problem, the complex plane wasn't standardized -- it was, in fact, almost completely unknown.
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