[img]http://img708.imageshack.us/img708/4042/analysis999.jpg[/img]
I stuck halfway through, any help would be appreciated.
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Let ε>0 be given.
|x_n - (9/2)| = ......
simplified to:
39/[(4n^3) + 10]
Im stuck here, what do i do next?
Thanks so much, this is the part that I dont understand, could you explain how you got from the left to the right of the above equation? I've seen your technique in many examples but i still dont understand how you did the above step. especially getting rid of the 10
Thanks for your help, appreciated
okay I think you are over thinking this lets look at a few numerical examples.
The idea is if you make the denominator of a fraction smaller (divide by a smaller number) the fraction gets bigger for example
So the idea is to make the fraction easier to work with by replacing it with a bigger but simpler fraction.