Question

Positive integer (s) which is (are) greater than ${(1+0.0001)}^{10000}$ is (are)

• A. $3$
• B. $4$
• C. $5$
• D. $7$

Answer 1

Answer: (A), (B), (C), (D)

The correct options are
A $3$
B $5$
C $4$
D $7$

We know that, If $x$ is small then we can assume that $(1+x{)}^n\approx nx$
$\therefore {(1+0.0001)}^{10000}\approx 1+0.0001\left(10000\right)=2$
Which is clearly less than all $3,4,5,7$.
Hence all options are correct.