Help on power series and Probability Generating Functions
Right now, as a computer science student, I am having great difficulty with the following problems. I have solved the first one (I think) but only because I essentially looked up the power series and then worked out a general formula for it.
1. Given that the Taylor series for exp(x), write down the
the series for
and thus write down the series for
2. Give an expression for the sequence an when the generating function is
3. Give an expression for the sequence an when the generating function is
My lecture notes are being extremely unhelpful and I am at a complete loss as to how to give a proper answer, and the thought process behind it.