>We'll prove by induction that this recursive sequence has an upper bound of 3
>Why 3?
>Because I said so, it has nothing to do with the fact that 3 will turn out to be the limit
>YOU WILL NOT JUST CALCULATE THE STATIONARY POINT FIRST AND THEN PROVE BOUNDEDNESS
>BECAUSE THATS NOT HOW THE TA TOLD YOU TO DO IT
>IT'S MONOTONIC THEN BOUNDED AND THEN YOU FIND THE LIMIT AAAHHHH STOP
>YOU WILL PROVE ITS MONOTONIC BY INDUCTION
>YOU WILL GUESS THE BOUND
>YOU WILL THEN, AND ONLY THEN, PROVE ITS CONVERGENT
