Uncertainty in measurements and epsilon delta definition of a limit

[madah12]

does the epsilon delta definition of the limit connect to the uncertainty in measurements like this? like if we measure a quantity time with value a with error of + or - delta then my formula will give me v with value L +or - epsilon or is it unrelated?

 

[mathman]

It is unrelated. The simplest mathematical approach to what you are trying to do is use elementary calculus. Specifically if you know the relationship between v and t (time), you can compute dv/dt at t=a and the v error will be approximated by this derivative times the t error.

 

[madah12]

oh I see it's linear approximation right?

 

[mathman]

oh I see it's linear approximation right?

Yes.