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Quick questions:

How can I write a series converging into the limit of pai ?

Prove that the limit of the series zz (n+2) / (2n² +1) zz is not 1/2 when n->infinity (and bigger than 1)

I came to the equation:

zz |(-2n² + 2n +3) / (2n² +1) | >= ε zz

(*)And I made the left expression smaller by enlarging the denominator and diminution the numerator:

zz |(-2n² + 2n) / (2n² +n) | >= ε zz

which is

zz |(-2n + 2) / (2n +1) | >= ε zz

and again.. (*)

zz |(-2n) / (2n +n) | >= ε zz

which is

zz |-2/3 | >= ε zz

and then I can choose ε = 2/3 ?

something dosent seem right ..

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# Homework Help: Converging series

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