Usuing L'Hopital's Rule, Can you help me solve this equation?

Question

Find the Limit as x ->infinity of (1 + (10/x))^4x

I've gotten that it is a 1 ^ Infinity form but do not know where to go from there besides taken the natural log of each side(?)

Ln y = Ln (1 + (10/x))^4x

Thats how far I got

Answer 1

y = (1 + 10/x)^4x
lny = 4xln(1+10/x) = (ln (1+10/x))/(1/(4x)) which takes the form 0/0 so L'Hospital's rule can now be applied.

Take derivative of numerator and denominator separately repeating as necessary to arrive at a conclusion.

Remember you are getting lim Ln y as x --> infinity , so if the limit turned out to be 1, then ln y --> 1 and so limit would be e.

I think you will find limit is infinity.