Model Answers to the Ninth Homework
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چکیده
The only subtle thing to be careful of is that this involves an infinite sum, which does not a priori make sense. On the other hand, note that to compute the coefficient of x, (after substituting for y) we only need the first n+1 terms. Thus each coefficient can be computed using only finitely many terms and so the sum does make sense. With this said, it is then clear that (1 + y + y + . . . )(1− y) = 1, for the same reasons as before. Thus the inverse of f is 1+y+y + . . . . (iii) Easy. Suppose that f(x) = ax + . . . and g(x) = bx + . . .
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تاریخ انتشار 2016