Solving epsilon-delta problems

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Solving epsilon - delta problemsMath 1A, 313,315 DISSeptember 29, 2014There will probably be at least one epsilon - delta problem on the midterm and the kind of problems ask you to show1thatlimx af(x) =Lfor some particularfand particularL,using the actual definition of limits in terms of sand srather than the limit laws. For example, there might be a question asking you toshow thatlimx a7x+ 3 = 7a+ 3(1)orlimx 5x2 x 1 = 19,(2)using the definition of a The rules of the gameNormally, the answer to this kind of question will be of the following form:Given >0, let = [something positive, usually depending on anda].

Solving epsilon-delta problems Math 1A, 313,315 DIS September 29, 2014 There will probably be at least one epsilon-delta problem on the midterm and the nal. These kind of problems ask you to show1 that lim x!a f(x) = L for some particular fand particular L, using the actual de nition of limits in terms of ’s

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