Tar file size limit

The quick answer is: 2^63-1 for the archive, 68'719'476'735 (8^12-1) 
bytes for each file, if your environment permits that.
 
as I understand your question, you want to know if you can produce tar
files that are biger than 2 GBytes (and how big you can really make
them). The answer to this question depends on a few simple parameters:

1) Does your operating system support large files?
2) What version of tar are you using?
3) What is the underlying file system?

You can answer question 1) for yourself by verifying that your kernel
supports 64bit file descriptors. For Linux this is the case for
several years now. A quick look in /usr/include/sys/features.h will
tell you, if there is any line containing 'FILE_OFFSET_BITS'. If there
is, your OS very very probably has support for large files.

For Solaris, just check whether 'man largefile' works, or try 'getconf
-a|grep LARGEFILE'. If it works, then you have support for large files
in the operating system. Again, support for large files has been there
for several years.

For other operating systems, try "man -k large file', and see what you
get -- I'll be gladly providing help if you need to ask for
clarification to this answer. Something like "cd /usr/include; grep
'FILE_OFFSET_BITS' * */*" should tell you quickly if there is standard
large file support.

2) What version of tar are you using? This is important. Obviously,
older tar programs won't be able to handle files or archives that are
larger than 2^31-1 bytes (2.1 Gigabytes). Try running 'tar --version'.
If the first line indicates you are using gnu tar, then any version
newer than 1.12.64 will in principle be able to provide you with large
files. Try to run this command: "strings `which tar`|grep 64", and you
should see some lines saying lseek64, creat64, fopen64. If yes, your
tar contains support for large files.

If your tar program does not contain support for large files (most
really do, but maybe you are working on a machine older than 1998?),
you can download the newest gnu tar from ftp://ftp.gnu.org/pub/gnu/tar
and compile it for yourself.

The size of files you put into a tar archive (not the archive itself)
is limited to 11 octal digits, the max. size of a single file is thus
ca. 68 GBytes.

3) Given that both your operating system (and C library), and tar
application support large files, the only really limiting factor is
the file system that you try to create the file in. The theoretical
limit for the tar archive size is 2^63-1 (9'223'372 Terabytes), but
you will reach more practical limits (disk or tape size) much quicker.
Also take into consideration what the file system is. DOS FAT 12
filesystems don't allow files as big as the Linux EXT2, or Sun UFS
file systems.

If you need more precise data (for a specific file system type, or for
the OS, etc.) please do not hesitate to ask for clarification.