Name: Rain Xia       Student Number: 59118159

The example I made for function is fountain. When you look at the picture at this fountain, you will find out that the track of the water looks like a quadratic function, which is represented as y=ax²+bx+c(a≠0). I guess the function for the half of the fountain is may be y=-x²-5x+10 if we make the ground as the x-axis and fountain center as the 0 point. And this function does not have a horizontal asymptote.

The example I made for sequence is the transverse wave of particle. Many wave phenomena in nature can be represented by the sine mathematical function. This sequence converges to 0.

The example I made for series is a person want to walk 1 km, he walks 0.5km first time and he walks half of the remaining distance every time after. The sum of his each walking is a series. This series does not converge but arbitrarily close to 1.