1. The problem statement, all variables and given/known data Find f(t) for the function F(s)=(10s^2+85s+95)/(s^2+6s+5) and apply the initial and final value theorems to each transform pair 2. Relevant equations Initial value theorem: f(0)=lim s->∞ s(F(s)) Final value theorem: f(∞) = lim s->0 s(F(s)) 3. The attempt at a solution After dividing due to improper fraction: F(s)= 10 + (25s+45)/(s^2+6s+5) F(s)= 10+5/(s+1)+20/(s+5) f(t)= 10δ(t)+[5e^(-t)+20e^(-5t)]u(t) Where I'm confused is how I would apply the value theorems since there's an impulse function. When my professor did a similar problem and applied the theorems, I couldn't follow what she did, but the answer solution to this problem says the value theorems can't be applied to the function because the function is improper and the corresponding f(t) function contains an impulse. How was my professor able to do it if it supposedly can't be done? Can someone please clarify this for me?