Question

Complete the sentence below by making a choice from the 5 possibilities listed.

Answer 1

Answer:

E) bounded from both above and below.

Step-by-step explanation:

Sequences

The given sequence is

$a_n=\{sin\ n\}$

To obtain the terms of the sequence, we give n values from the natural numbers set, i.e.

$n=\{1,2,3,4...\}$

The sequence is expanded as

$\{sin\ 1,\ sin\ 2,\ sin\ 3,\ sin\ 4,\ ...\}$

Now we must recall some of the properties of the sine function: it's periodic and bounded from a minimum value (-1) to a maximum value (1), that is

$-1\leq sin \ n\leq 1$

Thus, the correct answer is

E) bounded from both above and below.