diff --git a/Doc/library/smtplib.rst b/Doc/library/smtplib.rst
index 044bbde..cad4b41 100644
--- a/Doc/library/smtplib.rst
+++ b/Doc/library/smtplib.rst
@@ -25,8 +25,9 @@
    A :class:`SMTP` instance encapsulates an SMTP connection.  It has methods
    that support a full repertoire of SMTP and ESMTP operations. If the optional
    host and port parameters are given, the SMTP :meth:`connect` method is called
-   with those parameters during initialization.  An :exc:`SMTPConnectError` is
-   raised if the specified host doesn't respond correctly. The optional
+   with those parameters during initialization.  If the :meth:`connect` call
+   returns anything other than a success code, an :exc:`SMTPConnectError` is
+   raised. The optional
    *timeout* parameter specifies a timeout in seconds for blocking operations
    like the connection attempt (if not specified, the global default timeout
    setting will be used).
@@ -73,7 +74,8 @@
 
 .. exception:: SMTPException
 
-   Base exception class for all exceptions raised by this module.
+   The base exception class for all the other excpetions provided by this
+   module.
 
 
 .. exception:: SMTPServerDisconnected
@@ -152,15 +154,6 @@
    for connection and for all messages sent to and received from the server.
 
 
-.. method:: SMTP.connect([host[, port]])
-
-   Connect to a host on a given port.  The defaults are to connect to the local
-   host at the standard SMTP port (25). If the hostname ends with a colon (``':'``)
-   followed by a number, that suffix will be stripped off and the number
-   interpreted as the port number to use. This method is automatically invoked by
-   the constructor if a host is specified during instantiation.
-
-
 .. method:: SMTP.docmd(cmd, [, argstring])
 
    Send a command *cmd* to the server.  The optional argument *argstring* is simply
@@ -177,6 +170,17 @@
    :exc:`SMTPServerDisconnected` will be raised.
 
 
+.. method:: SMTP.connect([host[, port]])
+
+   Connect to a host on a given port.  The defaults are to connect to the local
+   host at the standard SMTP port (25). If the hostname ends with a colon (``':'``)
+   followed by a number, that suffix will be stripped off and the number
+   interpreted as the port number to use. This method is automatically invoked by
+   the constructor if a host is specified during instantiation.  Returns a
+   2-tuple of the response code and message sent by the server in its
+   connection response.
+
+
 .. method:: SMTP.helo([hostname])
 
    Identify yourself to the SMTP server using ``HELO``.  The hostname argument