The positive integer just greater than (1 + .0001)^10000 is

• Binomial Theorem

The positive integer just greater than (1 + .0001)¹⁰⁰⁰⁰ is

1. 2
2. 3
3. 4
4. 5

Answer

(1+1/n)ⁿ = 1 + n*1/n + n(n-1)/2!*n² + ....

= 1 + 1 + (1/2!)(1-1/n) + (1/3!)(1-1/n)(1-2/n) + ....

= 2 + k

k will be less than 1, so 3 is the next positive integer.

The correct option is B.