To Check current users permissions using Ecmascript\Javascript client object model SharePoint 2010.
function checkifUserHasEditPermissions()
{
context = new SP.ClientContext.get_current();
web = context.get_web();
this._currentUser = web.get_currentUser();
context.load(this._currentUser);
context.load(web,'EffectiveBasePermissions');
context.executeQueryAsync(Function.createDelegate(this, this.onSuccessMethod), Function.createDelegate(this, this.onFailureMethod));
}
function onSuccessMethod(sender, args)
{
if (web.get_effectiveBasePermissions().has(SP.PermissionKind.editListItems))
{
//User Has Edit Permissions
}
}}