- #1
Abukadu
- 32
- 0
hi :)
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 ..
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 ..