Connecting a MacBook Air with Thunderbolt 2 to a Monitor with HDMI and USB-C I have a 13-inch MacBook Air Early 2015, resolution 1440 × 900 with thunderbolt 2 and USB-A. I want to connect it to a bigger display. Right now I am considering to buy an LG 27UK850-W 4K 27 inch Monitor (resolution 3840x2160) which has HDMI, USB-C, DisplayPort and USB Downstream Port.
Can I connect my MacBook and the monitor with the following connections:

MacBook Air -&gt; Thunderbolt 2 Cable -&gt; Thunderbolt 3 (USB-C) to Thunderbolt 2 adapter -&gt; LG 27UK850-W 4K Monitor

MacBook Air -&gt; USB-A to HDMI adapter -&gt; HDMI -&gt; LG 27UK850-W 4K Monitor


Would there be any limitations with the display quality? Which one is the best way to connect the devices or do you have any other suggestions?
I wouldn't recommend any of those. Instead get an ordinary mini-DisplayPort to DisplayPort cable and connect the monitor with a plain cable instead of adapters.
The 2015 MacBook Air cannot be charged over the USB-C port in any case, so you cannot benefit from that feature of the monitor right now. However in the future you might have a newer computer, and then the USB-C port with Power Delivery might come in handy.