Kind of surprising that taking a smaller $h$ isn't always desirable. That's the opposite of what we did in calculus.
Sybil
Since as h gets smaller it will likely be flushed to 0, and something divided by 0 will be inf.
ngandhi
LOL pathtracer flashbacks
keenan
@enzyme Right. That's because they lied to you in calculus: in the real world, there's no such thing as infinity! (Or infinitely small.). Especially on Turing machines, everything is ultimately finite and discrete...
Kind of surprising that taking a smaller $h$ isn't always desirable. That's the opposite of what we did in calculus.
Since as h gets smaller it will likely be flushed to 0, and something divided by 0 will be inf.
LOL pathtracer flashbacks
@enzyme Right. That's because they lied to you in calculus: in the real world, there's no such thing as infinity! (Or infinitely small.). Especially on Turing machines, everything is ultimately finite and discrete...