5. Determine the set of natural numbers n for which 2"> n². Prove that you are correct. 6. Let f be a function such that

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5 Determine The Set Of Natural Numbers N For Which 2 N Prove That You Are Correct 6 Let F Be A Function Such That 1 (14.88 KiB) Viewed 9 times

5. Determine the set of natural numbers n for which 2"> n². Prove that you are correct. 6. Let f be a function such that f(xy) = xf(y)+yf(x) for all x, y E R. Prove that f(1) = 0 and that f(u) = nu"-f(u) for all u ER and n E N. Hint: What should you plug in to compute f(1)? Then how could you find f(u) if you already know f(u)? How would you then find f(u)?