a) Show by induction that for non-negative integers n then f2n(x) is a positive number for all real numbers x. (Attached image) b) Using the result from a) why can we conclude that f9: R -> R has an inverse function? Does f10 have an inverse function? c) Given n ≥ 0: justify that lim fn(x) / ex = 0 when x approaches infinity

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