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den301095 [7]
3 years ago
8

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

Mathematics
1 answer:
likoan [24]3 years ago
3 0
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 <span>(1 +1/34) to the power of 34 is the closest to the value of </span>e.
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