Convergence/Divergence

[Paul McSwizzle]

I am reviewing for a math exam and am having some trouble with sequences and convergence/divergence.

One of the practice problems is:

1) Determine if the sequence {[2^(2n)]/[3^(n+2)]} from n=1 to infinity is convergent or divergent.

I am having a difficult time with this problem because of the exponents. If anyone could show me how to do this that would be great.

The second problem is:

2) Use the squeeze theorem to show that the sequence {[1x3x5x7...x(2n-3)x(2n-1)]/[(2n)^n] from n=1 to infinity is convergent to 0.

I really don't understand how to use the squeeze theorem here. Again, any help would be great.