Question

The lowest integer which is greater than ${\left(1+\frac{1}{2^{1000}}\right)}^{2^{1000}}$ is

• A. 2
• B. 4
• C. $2^{1000}$
• D. 3

Answer 1

Answer: (D)

Use $(1+x{)}^n=1+nx+\frac{n(n-1)}{2}{x}^2+\dots \dots \dots =2+($ small positive $)<3$