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# Real Sequence watch

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1. Give an example of a real sequence Xn with X1 = Pi, X2 = e^7, X3 = square root of (2) so that Xn tends to 0 as n tends to infinity. Anybody able to help me on this one?
2. what's the easiest sequence converging to zero that you know? now can you change it so that the first three terms are those given (the answer is yes)
3. Gah, this is a really annoying question. It's a trick question, just testing your understanding of the definition of convergence. It's a lot simpler than you're thinking I'd imagine!
4. The easiest sequence that I know of would be 1/n, I am just struggling to manipulate this to get the first three terms.
5. literally manipulate it then

(also, surely 0, 0, 0, ... converges to 0 and is easier than 1/n in some sense. this is the kind of trick you want to think about)
6. (Original post by Casanova_1)
The easiest sequence that I know of would be 1/n, I am just struggling to manipulate this to get the first three terms.
And this is why it's a gay question
7. Oh I searched this exact question! Analysis of int and diff revision sheet i take it?:O
8. (Original post by milky joe)
Oh I searched this exact question! Analysis of int and diff revision sheet i take it?:O
You got that correct lol !!

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Updated: September 30, 2011
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