(1 + 0.0001) ¹⁰⁰⁰⁰ = 1 + 10000*0.0001 + other terms = greater then 2

besides it lim _x->0 (1+x)^1/x = e = less then 3

it means the given expression is more then 2 but less then 3 

so 2 will be the answer