Answer:To determine which expression is closest to the value of e, we need to evaluate each expression and compare the results to the approximate value of e, which is approximately 2.71828.
Let's evaluate each expression:
A. (1+#)"
We don't have a specific value for the "#" symbol, so we cannot evaluate this expression.
B. - (1 + 7/13) ²0
To evaluate this expression, we first simplify the expression inside the parentheses:
(1 + 7/13) = 13/13 + 7/13 = 20/13
Then we square this result:
(20/13)^2 = 400/169
Since e is approximately 2.71828, we can see that 400/169 is not close to the value of e.
C. 18
The value 18 is not close to the value of e, which is approximately 2.71828.
D. (1 + 7/61) 0
To evaluate this expression, we simplify the expression inside the parentheses:
(1 + 7/61) = 61/61 + 7/61 = 68/61
Then we raise this result to the power of 0:
(68/61)^0 = 1
Since 1 is the identity element for exponentiation, it is not close to the value of e.
Based on our evaluation, none of the given expressions are close to the value of e.
Explanation: