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F (0.5, 4, 1/3) = (-0.167070735979,0.)
F (0.5, 5, 1/3) = (-0.294394690453,0.)
F (0.5, 6, 1/3) = (-0.305652599743,0.)
To compare the results from the series with those of the original function, load
these functions into the PLOT – FUNCTION input form (
„ñ
,
simultaneously if using RPN mode):
Change the limits of the Plot Window (
„ò
) as follows:
Press the soft-menu keys
@ERASE @DRAW
to produce the plot:
Notice that the series, with 5 terms, “hugs” the graph of the function very
closely in the interval 0 to 2 (i.e., through the period T = 2). You can also
notice a periodicity in the graph of the series. This periodicity is easy to
visualize by expanding the horizontal range of the plot to (-0.5,4):
