Homework SourseShow your work Find lim sup 1n 3 and lim inf 1n 3Solutionlim
Show your work
Find lim sup [-1/n, 3] and lim inf [-1/n, 3]Solution
lim inf [-1/n,3] is -1, since -1/n where n ranges over the positive integers.
The smallest element of this set is 1. It is therefore the infimum.
For the supremum, note that our numbers are all <=3. So the supremum is 3.
i.e. lim sup [-1/n,3] = 3
![Show your work Find lim sup [-1/n, 3] and lim inf [-1/n, 3]Solutionlim inf [-1/n,3] is -1, since -1/n where n ranges over the positive integers. The smallest el](/WebImages/46/show-your-work-find-lim-sup-1n-3-and-lim-inf-1n-3solutionlim-1144546-1761614789-0.webp "Show your work Find lim sup [-1/n, 3] and lim inf [-1/n, 3]Solutionlim inf [-1/n,3] is -1, since -1/n where n ranges over the positive integers. The smallest el")
