Hey guys could use a hand with this problem. Limit between 1 and infinity, {(5 + n) / n) ^n}.

The answer is 5, and i tried simplifying to ln(y)= (n)(ln((5+n)/n)) but not sure where to go from there? Thanks!

could you rewrite the problem more carefully?

Im not sure how else to write it?

Unless you do n(lim(5 + n) - lim(n)). In that scenario would the lim n's cancel so your just left with n(lim(5))?

well maybe I need more coffee but I can't seem to wrap my head around exactly what you are asking.

Also you have more ")" characters than "(" characters.

Is this the question you are asking?

if so:

Remember a definition of exponential function :

exp ( x ) = lim ( 1 + x / n ) ^ n

lol i knew there had to be an easier way... well take what I did, replace 5 with x, and use it as a proof for: