- #1
egwin
- 3
- 0
Hello,
I want to check convergence for the following series:
∑2^(1/n)-1
so that's the n'th root of two minus one, for n going to positive infinity
Now all possible formulas i know come out inconclusive,
so the only formula i can think of is the integer formula, now i thought
to make things easier to just integrate 2^(1/n) and if this series proves to be convergent then that proves the convergency (as it is always "1" larger than the other one).
Now as i am seem to be a complete idiot i cannot even find the integer for this one.
Can someone help me?
Sorry if my English is not so good.
Thank you in advance,
Egwin.
I want to check convergence for the following series:
∑2^(1/n)-1
so that's the n'th root of two minus one, for n going to positive infinity
Now all possible formulas i know come out inconclusive,
so the only formula i can think of is the integer formula, now i thought
to make things easier to just integrate 2^(1/n) and if this series proves to be convergent then that proves the convergency (as it is always "1" larger than the other one).
Now as i am seem to be a complete idiot i cannot even find the integer for this one.
Can someone help me?
Sorry if my English is not so good.
Thank you in advance,
Egwin.