Solving epsilon-delta problems
3 Strategies for nding delta One general strategy is to try solving jf(x) Lj< for x. Once you know what values of x will work, you choose so that the interval (a ;a+ ) sits inside the set of solutions. For example, suppose you’re trying to prove that lim x!8 3 p x= 2. Given >0, you need to nd >0 such that 0 <jx 8j< =)j3 p x 2j< :
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