Auf YouTube findest du die angesagtesten Videos und Tracks. Außerdem kannst du eigene Inhalte hochladen und mit Freunden oder gleich der ganzen Welt teilen.
So like, in any real system as x approaches infinity the difference between x and x+2 will fall below measurement error and make x = x+2 functionally true (far field small angle approximation and whatnot.) This kind of situation comes up in optics when you’re finding different f points on lenses. I think it’s more a case of “both ways to consider that math are useful in different regimes/circumstances.” If a student in a proof based math class i was teaching came at me with the graphical explanation I’d tell them to try again, but if one of my junior engineers came to my office with concerns about the difference between x and x+2 at x=50000 or something id take it as an opportunity to teach them why it probably doesn’t matter.
So like, in any real system as x approaches infinity the difference between x and x+2 will fall below measurement error and make x = x+2 functionally true (far field small angle approximation and whatnot.) This kind of situation comes up in optics when you’re finding different f points on lenses. I think it’s more a case of “both ways to consider that math are useful in different regimes/circumstances.” If a student in a proof based math class i was teaching came at me with the graphical explanation I’d tell them to try again, but if one of my junior engineers came to my office with concerns about the difference between x and x+2 at x=50000 or something id take it as an opportunity to teach them why it probably doesn’t matter.
Oh, in an engineering context, yeah. I think that’s more because you’re looking at the relative difference between the two, or
((x-2)-x)/x, which is -2/x, which is 0 as x approaches infinity.