The following limit represents f'(a) for some function fand some value a. a. Find the simplest function f and a number a. b. Determine the value of the limit by nding f'(a). 100 x -1 x-1 lim x)1 a. Select the correct choice below and ll in the answer box within your choice. (Type an integer or a decimal.) VA. f(x)=x100;a= 1 B. f(x)=x101;a= C. f(x)=x99; a= b. f'(a) = Cl (Type an exact answer.)