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I would like to perform a numeric differentiation in C++. For type safety, I’d like to use boost::units to avoid mixing units but also boost::units::absolute to avoid mixing relative and absolute units. A minimal example is to calculate the velocity as a function of the change in position divided by the change in time: vRead more

It is known that the power series $ \sum_{n=0}^\infty a_n x^n$ and $ \sum_{n=0}^\infty n a_n x^{n-1}$ have the same radius of convergence $ r$ . Is it true that if $ r<\infty$ and $ \sum_{n=0}^\infty na_n r^{n-1}$ converges then $ \sum_{n=0}^\infty a_n r^n$ converges, too? The same question for $ -r$ . If not,Read more