Well, if you load an infinite amount of fuel the airplane becomes infinitely heavy. So you need infinite thrust just to get it to move. And for that you need an infinite amount of fuel - all the fuel you loaded will be gone the moment you attempt to start taxiing;-)
Conversation years ago with a mathematically-inclined 12 year old who was enthusiastically learning the concepts of infinity:
Q: "If you had a pie, and an infinite number of people lined up, and each person in line, when it was his turn, took half the remaining pie, when would the pie be gone?"
A: "When the whole line had had their turn!"
Last edited by Gauges and Dials; 9th Jan 2017 at 20:54.
Reason: Typo