The value of which of these expressions is closest to e?
A. (1+1/18)^18
B. (1+1/17)^17
C. (1+1/15)^15
D. (1+1/16)^16

Respuesta :

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.