MAT 21A Study Guide - Midterm Guide: Asymptote

• School: UC-Davis
• Department: Mathematics
• Course: MAT 21A
• Professor: All

Document Summary

If the limit does not exist as a number, state whether or not it can be written as or " . (a) limx "3 x "3 x2 "2x "3 (b) limt "0 t+1 "1 t (c) limx "1+ Find limx " 1 "cos(1/x) (1/2x) (hint: use the double angle formula) Determine whether or not the following limits exist, and calculate them. If the limit does not exist as a number, state whether or not it can be written as or " . (a) limx "3 x "3 x2 "2x "3. Using the sandwich theorem, show that limx "0 x4(1 " cos x) = 0. Answer: 0 x4(1 " cos x) 2x4. Directly from the denition of a limit, show that limx " "3 x2 = 9. Answer: given > 0, if < 9 then we can use.