<textarea id="text_txt1"></textarea>
<span id ="num_txt1">剩余可输入600字</span> 

$(function(){
$('#text_txt1').on('keyup',function(){
var txtval = $('#text_txt1').val().length;
console.log(txtval);
var str = parseInt(600-txtval);
console.log(str);
if(str > 0 ){
$('#num_txt1').html('剩余可输入'+str+'字');
}else{
$('#num_txt1').html('剩余可输入0字');
$('#text_txt1').val($('#text_txt1').val().substring(0,600)); //这里意思是当里面的文字小于等于0的时候，那么字数不能再增加，只能是600个字
}
//console.log($('#num_txt').html(str));
});
}) 

function changeLength(obj,num){
obj.on('keyup',function(){
var txtval = obj.val().length;
//console.log(txtval);
var str = parseInt(600-txtval);
//console.log(str);
if(str > 0 ){
num.html('剩余可输入'+str+'字');
}else {
num.html('剩余可输入0字');
obj.val(obj.val().substring(0, 600));
}
//console.log($('#num_txt').html(str));
});
}
$(function(){ //我这里有四个，所以调用4次
changeLength($('#text_txt1'),$('#num_txt1'));
changeLength($('#text_txt2'),$('#num_txt2'));
changeLength($('#text_txt3'),$('#num_txt3'));
changeLength($('#text_txt4'),$('#num_txt4'));
}); 

<div class="family_v2">
<p class="nickname_v2">简介：</p>
<textarea id="content" name="sign" style="height:60px;overflow-y: hidden;"
onkeyup="changeLength(this,60)" class="nicknameBox_v2 brief_box_v2">
</textarea>
<div class="limit_num_v2">
<h3>60</h3>
</div>
</div>

//验证textarea的长度
function changeLength(obj,lg){
var len = $(obj).val();
$(obj).next().find("h3").text(lg-len.length);
if(len.length>=lg){
$(obj).next().find("h3").text(0);
$(obj).val(len.substring(0,lg));
}
}