The correct answer for the exercise shown above, is the first option (Option A), which is:
A. (1+1/18)^18
The explanation is shown below:
1- You have that the number e is an irrational number, therefore, its value is aproximated:
e=2.7182
2- You have the following expressions:
(1+1/18)^18=2.6464
(1+1/17)^17=2.6424
(1+1/16)^16=2.6379
(1+1/15)^15=2.6328
Therefore the value of the expression that is closest to e is the Option A.