Give a proof of Let n Z. If |2n 1| 5, then n 3 and n 2. using (a) a direct proof. (b) a proof by contrapositive.

Math 103—Week 45 Notes—3.23.5 3.2: Derivatives: The derivative of a function f(x) at any point x: f (x)=lim f(x+h )− f (x) h→0 h ' f(z − f (x) f (x)=lz→ x z−x *z = x + h, or the second point Derivative notations: ' ' dy df d f (x =y = = = f(x =D (f)(x)=D fx(x) dx dx dx One can graph a derivative by estimating the slope at several...