contestada

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

Respuesta :

cerverusdante
Using a calculator, we can check that [tex]e=2.718281828[/tex].

Lets evaluate each one of our expression the check which one is closest to [tex]e[/tex]:

[tex](1+ \frac{1}{31} )^{31}=2.675686306[/tex]

[tex](1+ \frac{1}{32})^{32}=2.676990129 [/tex]

[tex](1+ \frac{1}{34} )^{34}=2.679355428[/tex]

[tex](1+ \frac{1}{33} )^{33}=2.678207651[/tex]

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

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