Question

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

O A.
A. (1+27)
○ B. (1+¹)"
C. (1+30) 0
O D. (1+2) 20
O C.

Answer 1

`{\Large \begin{array}{llll} e ~~ \approx ~~ 2.71828182846 \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \left( 1+\cfrac{1}{27} \right)^(27)\implies \left( \cfrac{28}{27} \right)^(27) ~~ \approx ~~ 2.66959398\qquad \bigotimes \\\\\\ \left( 1+\cfrac{1}{28} \right)^(28)\implies \left( \cfrac{29}{28} \right)^(28) ~~ \approx ~~ 2.67127785 \qquad \bigotimes`

`\left( 1+\cfrac{1}{30} \right)^(30)\implies \left( \cfrac{31}{30} \right)^(30) ~~ \approx ~~ 2.67431878 \qquad \textit{\LARGE \checkmark} \\\\\\ \left( 1+\cfrac{1}{29} \right)^(29)\implies \left( \cfrac{30}{29} \right)^(29) ~~ \approx ~~ 2.67284914 \qquad \bigotimes`