Can I connect a LED cinema display to an iMac late 2013?

The mini displayPort port on the Mac working as video output port when connected to a display with a mini displayPort input. This monitor has the same maximum resolution as the internal display of the Mac. This means Mac supports the maximum resolution of Monitor.

When connecting monitor to your Mac, thunderbolt will not be used. The Mac has the ability to determine if the mini displayPort is being used for video or being used for thunderbolt data transfers.

I connect a 13” touchbar macbook pro with usb-c ports to my 27” apple display with apple adaptors and also my 15” macbook pro to the same display with suitable apple adaptors.

Works fine.

Macbook crashes at startup after process bar appears

How do I get all my archived Gmail into iCloud mail?

iPhone SE2: Strange box with percentage appears when pressing Home button

How to use a USB-C adapter on an older mac with USB A

Why do some accessories work with the Lightning – USB3 Camera Adapter while others don't?

Hidden Python- and R-files: Safe to delete?

Late 2013 iMac: help with troubleshooting intermittent crashing problem

What does it mean that "compactification is defined only with respect to the topology of the base space"?

A question about Big-O notation

Give an example of a continuous function $f : [0, ∞) \to [0, ∞)$ such that $\int_{0}^{\infty}f(x)dx$ exists but $f$ is unbounded.

why does e raised to the power of negative infinity equal 0?