Prove root x is continuous

VE ( VC + VE) 0. Let S = min(c,evc). Then if 0

t follows that lim f (x) f (c), so that f is continuous at c' Since c was arbitrary, f is continu on (0, 00). Choose c e (O,oo) and choose e > 0. IQt6 = Then if 0 < lx c! k: c, we he c < x c < c so that 0 < x < 2c and < ac. Thus < vFi+vG < vG+vfc,so < . Now,