Use Theorem 5.4 to show that each ofthe following initial-value problems has a unique solution and find the solution. a. >' = ycost, 0

Now You Try It (NYTI): x − 2x − 3 1. Let f(x)= 2 . x − 1 (a) Evaluate each limit below. m i l ) i (i) limi− f(x) ( + f(x). x→−1 x→1 (b) Find and describe/classify each discontinuity of f(x). (c) Can you deﬁne f(x)t omaeitnnuusthevu()undnpat (b) If it’s not possible, state why. 2. Show that the equation cos(x)= x has at least one real root on the interval (0,1).