In numerics we use partial sums of power series. To get a feel for the accuracy for various x, experiment with sin x. Graph partial sums of the Maclaurin series of an increasing number of terms, describing qualitatively the ?breakaway points? of these graphs from the graph of sin x. Consider other Maclaurin series of your choice.

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1.5 1 0.5 0 -0.5 -1- -1.5 1 2 3 4 5 Fig. 106. CAS Experiment 20. sin x and partial sums S3, S5, S7 6x