We dene a function f : [1,1] > R by sin 3; it): ln(r1:2+1)+o:\/1+:c+:c if 11:0, if0 0 for all :1: E (1,0). Determine limx_,(_1)+ f"(.:r;) and limiHO f"(1;). Using part (b) and the Intermediate Value Theorem1 conclude that on the interval (1,0), the function f has a unique inflection point, say 3:0. Find limx_}(_1)+ f' (1,) and using parts (a) and (c), deduce that on the interval 1