Question

The positive integer just greater than $(1+0.0001{)}^{10000}$ is ____.

Answer 1

Answer: 3

We know that
$2\le {\left(1+\frac{1}{n}\right)}^n<3\forall n\ge 1,n\in N$
$\therefore 2<{\left(1+\frac{1}{10000}\right)}^{10000}<3$