Question

The value of which of these expressions is closest to e?

A.(1+ 1/26)26
B.(1+1/25)25
C.(1+1/23)23
D.(1+24)24

Answer 1

Using a calculator, we can check that e=2.718281828.

Explanation:

Lets evaluate each one of our expression the check which one is closest to e:

(1+ \frac{1}{31} )^{31}=2.675686306

(1+ \frac{1}{32})^{32}=2.676990129

(1+ \frac{1}{34} )^{34}=2.679355428

(1+ \frac{1}{33} )^{33}=2.678207651

We can conclude that the value of (1 +1/34) to the power of 34 is the closest to the value of e.