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So you'll get JavaScript array object, not JSON string. If you want JSON string you can use jquery-json plugin and then do the following:

var jsonString = $.toJSON( $('textarea').val().split(/\n|\r/) );
And if you want object, not array encoded in JSON do that:
var o = {};
$( $('textarea').val().split(/\n|\r/) ).each(function(i){
   o[i] = this;
var jsonString = $.toJSON(o);
        
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