Question

The positive integer which is just greater than (1+0.0001)¹⁰⁰⁰ is

• A. 3
• B. 4
• C. 5
• D. 2

Answer 1

Answer: (D)

2

Answer 2

The given expression on expansion gives

1 + 1000 × 10⁻⁴ + $\frac{1000 \times 999}{2}10^{- 8} +^{1000}C_{3}10^{- 12}$ + …….

< 1 + $\frac{1}{10} + \frac{1}{100} + \frac{1}{1000} + \cdots$ = $\frac{1}{1 - \frac{1}{10}} = \frac{10}{9}$

so that the integer just greater than the given expression must be 2