Find $$ n(A) $$ for the set. $$ A=\left\{\frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \cdots, \frac{1}{29}, \frac{1}{30}\right\} $$ A. $$ n(A)=31 $$ B. $$ n(A)=30 $$ C. $$ n(A)=\ln n $$ inite D. $$ n(A)=29 $$

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To find $$ n(A) $$, we need to determine the number of elements in the set $$ A $$.

The set $$ A $$ is defined as:

$$
A = \left\{ \frac{1}{2}, \frac{1}{3}, \frac{1}{4}, \frac{1}{5}, \ldots, \frac{1}{29}, \frac{1}{30} \right\}
$$

The elements of the set are the fractions $$ \frac{1}{n} $$ where $$ n $$ ranges from 2 to 30.

To find the number of elements, we can count the integers from 2 to 30. The smallest integer in this range is 2, and the largest is 30.

The number of integers from $$ 2 $$ to $$ 30 $$ can be calculated as follows:

$$
30 - 2 + 1 = 29
$$

Thus, there are 29 elements in the set $$ A $$.

Therefore, $$ n(A) = 29 $$.

The correct answer is:

D. $$ n(A) = 29 $$
The set $$ A $$ has 29 elements. Therefore, $$ n(A) = 29 $$.

Find for the set.

A.
B.
C. inite
D.

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