Question

Evaluate the limit

Answer 1

\[\lim_{n \rightarrow \infty} \left( \sqrt{3^{n}+3^{-n}}-\sqrt{3^n+3^{\frac{ n }{ 2 }}} \right)\]

Answer 2

I've tried multiplying by the conjugate which did not work, I also tried setting 3^n=x and tried simplifying which did not work either. Any ideas?

Answer 3

@jim_thompson5910 , @ganeshie8 , @zepdrix .

Answer 4

@SithsAndGiggles .