For question 1 substitute alpha for x Full explanation please
Posted: Wed May 11, 2022 10:31 pm
For question 1 substitute alpha for x
Full explanation please
138 PRINCIPLES OF MATHEMATICAL ANALYSIS EXERCISES 1. Suppose a increases on [a, b], a <xo <b, a is continuous at xo, f(xo) = 1, and f(x) = 0 if x # xo. Prove that feR(Q) and that S f do = 0. 2. Suppose f20, f is continuous on (a, b), and for all x e [a, b]. (Compare this with Exercise 1.) af* f(x) dx = 0. Prove that f(x)=1
Full explanation please
138 PRINCIPLES OF MATHEMATICAL ANALYSIS EXERCISES 1. Suppose a increases on [a, b], a <xo <b, a is continuous at xo, f(xo) = 1, and f(x) = 0 if x # xo. Prove that feR(Q) and that S f do = 0. 2. Suppose f20, f is continuous on (a, b), and for all x e [a, b]. (Compare this with Exercise 1.) af* f(x) dx = 0. Prove that f(x)=1