Observe the graphs of our approximations to the function you clicked on

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Where: (a) is the function we wish to approximate, (b) is the second partial sum, (c) is the fouth partial sum, (d) is the eigth partial sum, (e) is the 12th partial sum, (f) is the 24th partial sum,(g) the 32nd partial sum, (h) is all of them together.

Let's look at that in 3-D