You've been a Linkedin member for a while and you'd like to export all the emails of your Linkedin contacts to send them a message about your latest offering?
It's not that easy to find (especially after Linkedin's layout update) but the platform still offers a function to export a CSV including all your contacts details (email, company, role,...).
Here is the URL: https://www.linkedin.com/people/export-settings.
Simply choose the format and hit "export". The download will start shortly. You can then import the data in Mailchimp or in another outreach platform and kickstart the conversation.