### True or False? In Exercises $77-80$ , determine w…

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University of Southern California
Problem 76

Pattern Recognition Use a graphing utility to compare the graph of
$$f(x)=\frac{4}{\pi}\left(\sin \pi x+\frac{1}{3} \sin 3 \pi x\right)$$
with the given graph. Try to improve the approximation by
adding a term to $f(x) .$ Use a graphing utility to verify that
your new approximation is better than the original. Can you
find other terms to add to make the approximation even better?
What is the pattern? (Hint: Use sine terms.)

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