how to exit ssh session

Hi ,
I am running a script on multiple servers.When I run that script on one server,I want to exit from that server and want to go to next server.PFB script:
Suppose there are 3 servers:server1,server2,server3.I am currently in server1.

 for h in {2..3}
  do
    ssh username@server$h <<EOF
    echo "server$h" >>res1.txt
    echo "hi">>res1.txt
    exit
    EOF
done

Its givine me error"unexpected end of file".Can you please help.

have a look at the tool "expect".

expect(1) - Linux man page

You're getting an unexpected end of file because your EOF has whitespace in front of it. It must be the first token on the line (no indention).

Thanks Agama.It worked but I have another problems:
1.I am ruuning this script on multiple servers but I want the output to be save in same file at one location.

2.I am getting error "Pseudo-terminal will not be allocated because stdin is not a terminal",should I use
ssh -t -t username@server$h <<EOF

The psuedo terminal message is just a warning. It is being issued because you are redirecting the commands in from the here doc. If you use the -t options, you'll see the message of the day -- something you probably don't want. In my opinion you can ignore the message.

If you want output from all scripts in one file on the host that is generating the commands, then do something like this:

for h in host1 host2 host3
do
   ssh user@$h <<END
   hostname
END
done >/tmp/output

This will write the output of the hostname command from each host in the tmp file.