Well now I'm curious: what's the limit of G<n> as <n> goes to infinity?
A truncated sine wave? (insofar as sine waves are their own derivative, shifted by 90 degrees, so if I'm doing my math right they would theoretically be G∞-continuous)
Well now I'm curious: what's the limit of G<n> as <n> goes to infinity?
A truncated sine wave? (insofar as sine waves are their own derivative, shifted by 90 degrees, so if I'm doing my math right they would theoretically be G∞-continuous)
Things like bump functions [0] would generally do the trick.
[0] https://en.wikipedia.org/wiki/Bump_function