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write out the first four nonzero terms in the indicated expansion of the given function. What function does the series represent on the interval (-1, 1)? Use a CAS to plot the graph of the partial sum *S*_{4}(*x*).

(27)

$f(x)=1,0<x<1;$ use (27)

The first four nonzero terms of the series expansion for f(x) are given by: