(Step-by-Step) Assume that for some integer n 0, we have f(t) > P n (t) for all t > 0. (4) Prove that f(t) > P n+1 (t) for all t >0 (5) Hint: Let h(t) =
Question:
Assume that for some integer n
0, we have
f(t) > P n (t) for all t > 0. (4)
Prove that
f(t) > P n+1 (t) for all t >0 (5)
Hint: Let h(t) = f(t) – P n+1 (t). In light of the conditions (1), what do you know about h(0)? What does (4) tell you about h’(t) for t > 0? Under these circumstances, what does Corollary A from Problem 1 tell you??
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