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

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.