Problem 72E

a Compare the rates of growth of f(x)=x0.1 and g(x)=Inx by graphing both f and g in several viewing rectangles. When does the graph of f finally surpass the graph of g? b Graph the function h(x)=(Inx)/x0.1 in a viewing rectangle that displays the behavior of the function as x. c Find a number N such that if xN then Inxx0.10.1

Step-by-Step Solution