Need help for convergence/integrals..

Hello i really need some help with these: (Headbang)

1. Find out if they are convergent - and if so find the SUM.

http://img839.imageshack.us/img839/9307/1stfb.png

2. Find the absolute/partial convergence or divergence:

http://img576.imageshack.us/img576/8536/2ndzr.png

3. Find the interval of convergence:

http://img716.imageshack.us/img716/3928/43932867.png

4. Find and draw the limit of the function:

http://img213.imageshack.us/img213/7530/4tht.png

5. Find out if the function has a limit and if so find the limit:

http://img219.imageshack.us/img219/5430/5tha.png

6. Find R, represent the double integral as iterated integral in two ways (vertical simple and horizontal simple):0

http://img18.imageshack.us/img18/60/7thk.png

7. Find the particular solution:

http://img704.imageshack.us/img704/61/8th.png

Thanks in advance