Question

The value of which of these expressions is closest to e ?(1+1/31)to the power of 31
(1 +1/32) to the power of 32
(1 +1/34) to the power of 34
(1+ 1/33) to the power of 33

Answer 1

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

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 $e$.