Find the smallest integer $n$ such that $$\left(1-\frac{n}{365}\right)^n < \frac{1}{2}.$$
I cannot use a calculator, and I do not know where to begin.
Find the smallest integer $n$ such that $$\left(1-\frac{n}{365}\right)^n < \frac{1}{2}.$$
I cannot use a calculator, and I do not know where to begin.