SOLUTION: Can someone help? How do I write a limit? I got a formula from a sequence, but not sure how to write a limit for it. How do I calculate to what value it converges? (My calculator

Algebra ->  Sequences-and-series -> SOLUTION: Can someone help? How do I write a limit? I got a formula from a sequence, but not sure how to write a limit for it. How do I calculate to what value it converges? (My calculator       Log On


   



Question 1093082: Can someone help?
How do I write a limit? I got a formula from a sequence, but not sure how to write a limit for it. How do I calculate to what value it converges? (My calculator says it converges, but I do not know to what value...
Thank you.

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
write the formula for the nth term of your sequence, i.e. a(n) = (n+1) / n^2
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then rewrite it as a function, using my example
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f(n) = (n+1) / n^2
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now you can graph the function
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+graph%28+300%2C+200%2C+-1%2C+30%2C+-1%2C+2%2C+%28x%2B1%29%2Fx%5E2%29+
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we see that the example sequence converges to 0 as n approaches infinity
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the precise definition of limit involves advanced calculus(usually 2nd year) concepts
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