How to find the limit of LIM (x →∞) (1 + 5 / x) ^ 2x?

How to find the limit of LIM (x →∞) (1 + 5 / x) ^ 2x?

lim(x→∞) (1+5/x)^2x
=lim(x→∞) (1+5/x)^(2*5x/5)
=lim(x→∞) [(1+5/x)^x/5]^10
=e^10