Close, but not what the OP was asking for. That will automatically die if the connection fails. Either what pg provided or something like the following would be more of a workable solution:

#!c:/perl/bin/perl -w
$|++;

use strict;
use DBI;

my $table = 'table_name';
my @db = (
  ['localhost',        'user1', 'pass1'],
  ['other.server.com', 'user2', 'pass2'],
  ['last.attempt.com', 'user3', 'pass3'],
);

my $dbh;
for my $db (@db) {
  eval {
    $dbh = DBI->connect(
      'dbi:mysql:database=' . $table . ';host=' . $db->[0],
      $db->[1], $db->[2],
      { AutoCommit => 1, RaiseError => 1 }
    );
  };
  next if $@;
}

die "Unable to connect to any database!\n"
  if not defined $dbh;
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