With 1.1, calls to user timeline need to be authenticated. But Twitter has devised an simple process to create a client side embedded timeline. It requires creating a widget through the settings page. Here are the instructions:
Creating an Embeddable Timeline
You can further customize the look of the widget on the client side by changing any one of client side options:
To get the latest 3 tweets, make sure to set your tweet limit to 3. It would look similiar to this:
<a class="twitter-timeline" href="https://twitter.com/twitterapi" data-widget-id="YOUR-WIDGET-ID-HERE" data-chrome="nofooter" data-tweet-limit="3">Tweets by @twitterapi</a>