This message was posted on behalf of Intel Corporation
Your Intel® graphics support 4k resolution as you can see at the following link:
At this point the only thing I can recommend is the following
Uninstall the Intel® Graphics driver; please see Uninstalling the Intel® Graphics Driver and Intel® Display HDMI/Audio Driver
Once you uninstall the Intel® driver download the Beta driver and reinstall it, you can download it here:
Intel® Beta Graphics Driver for Windows® 10 and Windows 7*/8.1* [15.40]
You will need to install the driver manually, please follow the steps How to Manually Install an Intel® Graphics Driver in Windows® 10 & Windows 8* or Windows 8.1*
Try also to update the INF file for your Monitor/TV; you will need to contact your monitor manufacturer in order to update this driver.
If these troubleshooting steps do not solve your problem, most likely your laptop ports have a resolution limitation by your computer manufacturer and it will be better to contact them to get further assistance.