(a) Show that, if is positive, then the limit of p() as is

Chapter , Problem 8

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(a) Show that, if is positive, then the limit of p() as is and the limit of p() as is . (b) Show that, if is negative, then the limit of p() as is and the limit of p() as is . (c) Using the above, show that p() must have at least one real root (that is, at least one real number 0 such that p(0) = 0 ). [Hint: Look at the graph of p().]

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