Ok I understand that my definition of lengths and distance may be different from Pythagorus's
How is an approximation of the hypotenuse not equal to the hypotenuse if I take the limit as my "steps" go to infinity? According to everything I have ever been taught about approximations that should...
Ok thanks you very much MicroMass and Jim
Still a bit confused:
Why would the lengths of the two "curves"(lets say they are curves) not converge when the two actual curves converge?
If I had a Taylor Series Approximation of a Sin curve, the length (On the given interval of course) would...
Ok I realize the Pythagorean Theorem is correct. I completely get that very basic concept this is just a question I have.
On a right triangle a^2 + b^2 = c^2 with c being the hypotenuse.
But if instead of the hypotenuse connecting the two legs you had a jagged line that went halfway up...