border-image & linear-gradient
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.gradiente {
border-width: 10px;
border-style: solid;
border-image: linear-gradient(to bottom, black, rgba(0, 0, 0, 0)) 1 100%;
-webkit-border-image: -webkit-gradient(linear, 0 0, 0 100%, from(black), to(rgba(0, 0, 0, 0))) 1 100%;
-webkit-border-image: -webkit-linear-gradient(black, rgba(0, 0, 0, 0)) 1 100%;
-moz-border-image: -moz-linear-gradient(black, rgba(0, 0, 0, 0)) 1 100%;
-o-border-image: -o-linear-gradient(black, rgba(0, 0, 0, 0)) 1 100%;
}