1. The problem statement, all variables and given/known data Prove that, under the right assumptions, lims tends to infinity sn+1F(s) = f(n)(0+) 3. The attempt at a solution I don't have a problem with the common initial-value theorem, under the assumptions that both f and f' are partly continuous and of exponential order. Then I can find that the absolute value of sF(s) tends to f(0+). But for f(n)(t), the Laplace's transform is sn+1F(s) - [snf(0+) + sn-1f'(0+) + ... + f(n)(0+)]. Should I make the assumption that all initial values except for f(n)(0+) are equal to zero?