s) Say that f(x) is a nicely-behaved function that has a Taylor series (as all well- behaved functions do). It is also an odd function of x. Somebody then plugs in q² as the input to this function,...

Extracted text: s) Say that f(x) is a nicely-behaved function that has a Taylor series (as all well- behaved functions do). It is also an odd function of x. Somebody then plugs in q² as the input to this function, defining a function g(q) = f(q²). If we try to write down a Taylor series for there be odd powers of q in this Taylor series? Why or why not? will