Question: Problem 3. Let f(n) be a function of positive integer n. We know: We know: f(1)=f(2)==f(1000)=1 and for n>1000 f(n)=5n+f(n/1.01). Prove f(n)=O(n). Recall that x

Problem 3. Let f(n) be a function of positive integer n.

Problem 3. Let f(n) be a function of positive integer n. We know: We know: f(1)=f(2)==f(1000)=1 and for n>1000 f(n)=5n+f(n/1.01). Prove f(n)=O(n). Recall that x is the ceiling operator that returns the smallest integer at least x

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