Math Help - Solving this limit

Find n such that



i know the question ends up as e^(-2/n) but can someone show me a different way of solving it other than the fact that
?

i attempted to solve it with ln, moving the x's down but it would be great if i could get some assistance

Edit: sorry i couldn't get the language for this math down, any help on the actual problem? XD sorry

If your question is find n such that no such n (with n a real number) exists

Now if we let n be a polynomial, well we already know that so what y will make this is a simple equation and you can probably see that y must be 2ln3 or ln9

So we need nx to be so n must be

Soo Sorry, i wrote the question out wrong, could i get some assistance on the actual problem now? Again, i didn't know the language for making the site draw sigma, sorry.