Evaluate Limit of Sequence: 3^n/(3^n + 2^n)

  • Thread starter Thread starter GreenPrint
  • Start date Start date
  • Tags Tags
    Limit Sequence
GreenPrint
Messages
1,186
Reaction score
0
How do I evaluate

lim n->inf 3^n/(3^n + 2^n)

l hospitals rule (or however you spell his last name lol) doesn't work and so I have a hard time proving that it equals one. Thanks for any help anyone can provide.
 
Physics news on Phys.org
Divide numerator and denominator by 3^n to begin with. Then tell me what you think.
 
ah thanks it's been a while <_<
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
Back
Top