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Hi use this one :
<apex:actionFunction action="{!your_action_method}" name="testname" reRender="tableBlock" rendered="{!your_boolean_variable}">
</apex:actionFunction>
in class:--
public boolean your_boolean_variable{get; set;}
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If a reply to a post answers your question or resolves your problem, please mark it as the solution to the post so that others may benefit.
Thanks & Regards
Tej Pal Kumawat
(Certified Developer) | http://salesforce-evershine-knowledge.blogspot.in/