Real Analysis/Section 2 Exercises/Answers

On Sequences Problem 1 Strictly Increasing: We need to establish if it's monotone, and what kind (is it strictly increasing, strictly decreasing, non-increasing, non-decreasing, what?). Given the problem, we'll assume strictly increasing. First, we should prove the base case. This means proving that 1.2em a1 < a2. Next, we should prove that this works for any number n You're done! Everything checks out and is valid. General For problem 2, we see that supx_n =1 since n/(n+1) gets close to 1.