Yesterday finished with:
Can we expand this further?
Well, applying the product rule
And we know and
So,
Applying L’Hospital’s rule again:
And
This process can continue – delivering higher order derivatives on each iteration. It even starts to look like we might generate the factoral terms, as now we can see:
Related articles
- Taylor series expansions and L’Hospital’s rule (cartesianproduct.wordpress.com)
- Euler’s Identity, Part Two [EvolutionBlog] (scienceblogs.com)
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