Summary of Optimization on Open or Unbounded Intervals - Expii
Summary of optimization (finding extrema) on open or unbounded intervals. Finding extrema on open or unbounded intervals is similar to the process for closed intervals. Some additional complications arise, however, because a continuous function might not have any local extrema on non-closed intervals. More importantly, when finding global extrema, you might need to be a little more careful with "boundary" analysis: what happens in the limit as you approach endpoints (for open intervals) or infinity (for unbounded intervals).