Assuming your LinkedIn profile is completely error free, always professional, and in line with your current job pursuits, then I suggest including it on the resume. It shows you’re a proactive job-seeker, you’re technically adept, that you know people, and (if you’ve taken the initiative to get some recommendations) that at least some people like you.
I can think of at least 3 things your LinkedIn website offers that a resume does not:
1. Who you know. At even a glance, hiring managers can see how engaged you are in