NICK JONAS did an acoustic version of LADY GAGA'S "The Edge of Glory" at a show in L.A. over the weekend . . . and Lady Gaga is a fan.
She linked to a video of the performance on Twitter, and said, quote, "Swoon! Nick Jonas singing 'The Edge of Glory' . . . So dreamy!"
And Nick Tweeted this back: Quote, "The pleasure is all mine. That is a beautiful song. Keep inspiring the world."