I could be misunderstanding but it may also produce a series that converges, but poorly. When using Taylor series to solve differential equations, there's a fin

I could be misunderstanding but it may also produce a series that converges, but poorly. When using Taylor series to solve differential equations, there's a final step of "try and recognize the function," so that you can have sin(x) instead of a power series that will take a billion terms to reasonably compute sin(100).