The U. S. Government obtains all of its mystical power from a secret infinitely differentiable function whose origins are lost to history. This function is so secret that no one person seems to know all of its values. The President knows all about the function at x = 9 and has the greatest mystical power. The Senate Majority Leader, knows all about the function at x = 8. In a silent auction, Mark Zuckerberg bought the information about x = 7, and so on. If only we could find f(10), we could be the most powerful of all!So, we get the Vice President to talk. He is frustrated because he only knows all about the function at x = 0. He knows that f(0) = 1, f’(0) = 0.1, f’’(0) = 0.01, f’’’(0) = 0.001, etc. "Wow," we say, "they really do trust you!" "What are you talking about?" he complains. "Yeah, I know a lot about the function, but just at the measly point x = 0. I know nothing about f(10), which is what I need to take over! We dismiss him and he goes back to Washington, not knowing what he has just given us. Find f(10) to five decimal places, and please do not compromise our national security with this knowledge.