I had the similar issue. I solved it by triggering click to the particular li.
for example : -
<li id="test1" role="presentation" rel="1" class="scroll_tab_first" style="display: inline-block; zoom: 1; user-select: none;">1</li>
<li id="test2" role="presentation" rel="2" class="" style="display: inline-block; zoom: 1; user-select: none;">2</li>
<li id="test3" role="presentation" rel="3" class="" style="display: inline-block; zoom: 1; user-select: none;">3</li>
<li id="test4" role="presentation" rel="4" class="" style="display: inline-block; zoom: 1; user-select: none;">4</li>
<li id="test5" role="presentation" rel="5" class="" style="display: inline-block; zoom: 1; user-select: none;">5</li>
for showing last 'li' i used
$('#test5').trigger('click');