In the following picture we show the graphs of x^k on [0,1]. First we show graphs for k going from 1 to 10, but they changes slower and slower for larger k and we would have to wait to see how the graphs really get closer and closer to the x-axis. Therefore we start skipping, after x¹⁰ we show x¹², x¹⁵, x¹⁹, x²⁵, x³³, and x⁴⁵.