PLEASE EXPLAIN AND STATE WHAT ITS BEING COMPARED TO Use the

PLEASE EXPLAIN AND STATE WHAT IT\'S BEING COMPARED TO.

Use the direct comparison test to determine whether converges or diverges.

Solution

The series converges.

True, we can use direct comparison test.

1+sin(n) < 1+1 = 2

So we can compare the given series with 2/n^3/2 , which is a convergent series.