Question

Determine whether the sequence converges or diverges.If it converges, find the limit.

{0, 1, 0, 0, 1, 0, 0, 0, 1, .....}

Answer 1

Step 1:

The sequence is .

The terms in the sequence are oscillating between 1 and 0 infinitely many times as .

Therefore limit does not exist.

So the sequence is diverges.

Solution:

The sequence is divergent.