# Real Analysis/Section 2 Exercises/Answers

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## On Sequences[edit]

### Problem 1[edit]

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 a
_{1}< a_{2}. - Next, we should prove that this works for any number
*n* - You're done! Everything checks out and is valid.

## General[edit]

For problem 2, we see that supx_n =1 since n/(n+1) gets close to 1.