# Convergence and Divergence of Sequences Exercises

### Example 1

Determine if the sequence converges or diverges. If the sequence converges, what does it converge to?

### Example 2

Determine if the sequence converges or diverges. If the sequence converges, what does it converge to?

*a _{n}* = 2

^{n}### Example 3

Determine if the sequence converges or diverges. If the sequence converges, what does it converge to?

*a _{n}* = 7

### Example 4

(hint: expand the factorial)