MAT 21A- Final Exam Guide - Comprehensive Notes for the exam ( 27 pages long!)
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MAT 21A Full Course Notes
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Mat21a - lecture 3 - 2. 3: the precise definition of a limit x2 = x2. 25 means: in order to force to be as close as we want to 25 (without lim x 5 necessarily actually equalling 25), we just need to make x close enough to 5 (without equalling. The goal is to force x2 to be within 2 of 25. Force x2 to be within 23 and 27 ( 23 < x2. Next, square root inequality to get rid of. Then, you new inequality should look like this: , our inequality could be both of the following: 27 x is close to 5 x is close to -5 or. Since we want x close to 5, we will use this inequality: < 27 so x2 is within 2 of 25 x = 5 27. X can be within 0. 196 of 5, and then.
