Question

Suppose that Ax(t) =x(t+1) for every x in P_n; prove that if D is the differentiation operator, then
\[1+\frac{D}{1!}+\frac{D^2}{2!}+....+\frac{D^{n-1}}{(n-1)!}=A\]
Please, help. I don't know how to start

Answer 1

You're simply reversing the Taylor series.

Answer 2

what do you mean?

Answer 3

What's the Taylor series?

Answer 4

oh yea, got you, hehehe...

Answer 5

Do you understand now?

Answer 6

Not yet but there is an outlet and I believe that I can. If I cannot, I will ask you. hihihihi

Answer 7

Cool.

Answer 8

@primeralph no I can't , please help

Answer 9

http://mathworld.wolfram.com/TaylorSeries.html do I have to prove the stuff like this? OMG

Answer 10

@thomaster

Answer 11

@TuringTest