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Basic limit proof of limit equivalence
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[QUOTE="a_skier, post: 4547871, member: 401761"] Thank you very much Office_Shredder! One question though: I thought that I had to prove it in both orders, since it is an if and only if statement. Your route certainly seems more sensible but if I were to write the complete solution, wouldn't I assume in one case that as h goes to zero f(c+h) goes to f(c) and show that f(x) going to f(c) follows, and then start over and assume that as x goes to c f(x) goes to f(c) and show that f(c+h) going to f(c) follows from there? What I am asking is if I wanted to prove A iff B, wouldn't I do: If A is true, then B follows. If B is true, then A follows. Thus, A is true iff B is true. ? (Hopefully that example makes more sense than the above). Again, thank you! [/QUOTE]
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Basic limit proof of limit equivalence
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