For any real number x the floor function (or greatest integer function), LXJ. is defined to be the greatest integer less than or equal (a) Compute lim LJ. lim L lim LXJ. and lim LXJ. to x (see figure). Answer parts (a) through (e) --2" 2 Compute lim LXJ Select the correct choice below and, if necessary, fil in the answer box to complete your choice -1" OA. lim L- OB. lim LJ does not exist Compute lim LKJ. Select the correct choice below and, if necessary, fill in the answer box to complete your cholce OA. lim LK- OB. lim Lx does not exist Compute lim LXJ Select the correct choice below and, if necessary, fill in the answer box to complete your choice OA. Im LKJ X-2" OB. lim LXj does not exist. X2" Compute lim LXJ Select the correct choice below and, if necessary, fill in the answwer box to complete your choice x--2

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.