real-valued function
Source:
August 15, 2007
functioncalculusderivativelimittrigonometrysearchPutnam
Problem Statement
Let be an infinitely differentiable real-valued function defined on the real numbers. If f(1/n)\equal{}\frac{n^{2}}{n^{2}\plus{}1}, n\equal{}1,2,3,..., Compute the values of the derivatives of f^{k}(0), k\equal{}0,1,2,3,...